# How do you solve \frac { 49} { c } = \frac { 98} { 92}?

Jan 26, 2017

$\frac{49}{c} = \frac{98}{92} \implies c = 46$

#### Explanation:

Cross Multiplication

$\frac{49}{c} = \frac{98}{92} \iff 49 \left(92\right) = 98 c$

Divide both sides by $98$ then you get

$\frac{\left(49\right) 92}{98} = c$

Because $98 = 49 \left(2\right)$ we can cancel out 49s

$= \frac{92}{2} = c$

Then

$c = 46$