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Finding the Fourth Proportional to 57,565.62, 86,407.34 and 47,538.44

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Solution

The fourth proportional to 57,565.62, 86,407.34 and 47,538.44 is: 71,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.62 : 86,407.34 = 47,538.44 : x
  2. Step 2: Convert to fraction form
    57,565.62/86,407.34 = 47,538.44/x
  3. Step 3: Cross multiply
    57,565.62x = 86,407.34 × 47,538.44
  4. Step 4: Simplify right side
    57,565.62x = 4,107,670,148.15
  5. Step 5: Solve for x
    x = 4,107,670,148.15/57,565.62
  6. Step 6: Final answer
    x = 71,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.