30:45::50:x
You asked:
Solve \(30 : 45=50 : x\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= 75\end{aligned}$$
Express both ratios as fractions. \[\frac{30}{45} = \frac{50}{x}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{30}{45} &= \frac{50}{x} \\ 30 x &= 2250 \\ x &&= 75 \end{aligned}$$