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Finding the Fourth Proportional to 71,414.98, 107,134.62 and 24,656.92

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Solution

The fourth proportional to 71,414.98, 107,134.62 and 24,656.92 is: 36,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.98 : 107,134.62 = 24,656.92 : x
  2. Step 2: Convert to fraction form
    71,414.98/107,134.62 = 24,656.92/x
  3. Step 3: Cross multiply
    71,414.98x = 107,134.62 × 24,656.92
  4. Step 4: Simplify right side
    71,414.98x = 2,641,609,754.57
  5. Step 5: Solve for x
    x = 2,641,609,754.57/71,414.98
  6. Step 6: Final answer
    x = 36,989.57

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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.