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Finding the Fourth Proportional to 57,171.91, 85,766.16 and 17,732.20

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Solution

The fourth proportional to 57,171.91, 85,766.16 and 17,732.20 is: 26,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,171.91 : 85,766.16 = 17,732.20 : x
  2. Step 2: Convert to fraction form
    57,171.91/85,766.16 = 17,732.20/x
  3. Step 3: Cross multiply
    57,171.91x = 85,766.16 × 17,732.20
  4. Step 4: Simplify right side
    57,171.91x = 1,520,822,273.52
  5. Step 5: Solve for x
    x = 1,520,822,273.52/57,171.91
  6. Step 6: Final answer
    x = 26,600.87

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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.