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Finding the Fourth Proportional to 31,432.31, 43,375.27 and 17,821.27

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Solution

The fourth proportional to 31,432.31, 43,375.27 and 17,821.27 is: 24,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.31 : 43,375.27 = 17,821.27 : x
  2. Step 2: Convert to fraction form
    31,432.31/43,375.27 = 17,821.27/x
  3. Step 3: Cross multiply
    31,432.31x = 43,375.27 × 17,821.27
  4. Step 4: Simplify right side
    31,432.31x = 773,002,487.38
  5. Step 5: Solve for x
    x = 773,002,487.38/31,432.31
  6. Step 6: Final answer
    x = 24,592.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.