$$ \begin{aligned} \frac{529}{x} &= \frac{1000}{92}&& \text{multiply ALL terms by } \color{blue}{ x\cdot92 }. \\[1 em]x\cdot92\cdot\frac{529}{x} &= x\cdot92\cdot\frac{1000}{92}&& \text{cancel out the denominators} \\[1 em]48668 &= 1000x&& \text{ swap the left and right side of the equation } \\[1 em]1000x &= 48668&& \text{ divide both sides by $ 1000 $ } \\[1 em]x &= \frac{48668}{1000}&& \\[1 em]x &= \frac{12167}{250}&& \\[1 em] \end{aligned} $$

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