To solve for [tex]\( x \)[/tex] using the given proportion [tex]\(\frac{48}{36} = \frac{x}{48}\)[/tex], follow these steps:
1. Set up the proportional equation:
[tex]\[
\frac{48}{36} = \frac{x}{48}
\][/tex]
2. Cross-multiply to eliminate the fractions:
When you cross-multiply, you multiply the numerator of one fraction by the denominator of the other fraction and set the two products equal to each other:
[tex]\[
48 \times 48 = 36 \times x
\][/tex]
3. Simplify both sides of the equation:
Calculate the product on the left side:
[tex]\[
48 \times 48 = 2304
\][/tex]
So, the equation becomes:
[tex]\[
2304 = 36 \times x
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 36:
[tex]\[
x = \frac{2304}{36}
\][/tex]
5. Perform the division:
[tex]\[
\frac{2304}{36} = 64
\][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\( 64 \)[/tex].
