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Finding the Fourth Proportional to 83,732.59, 125,598.93 and 31,135.24

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Solution

The fourth proportional to 83,732.59, 125,598.93 and 31,135.24 is: 46,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.59 : 125,598.93 = 31,135.24 : x
  2. Step 2: Convert to fraction form
    83,732.59/125,598.93 = 31,135.24/x
  3. Step 3: Cross multiply
    83,732.59x = 125,598.93 × 31,135.24
  4. Step 4: Simplify right side
    83,732.59x = 3,910,552,829.29
  5. Step 5: Solve for x
    x = 3,910,552,829.29/83,732.59
  6. Step 6: Final answer
    x = 46,702.88

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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.