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Finding the Fourth Proportional to 71,414.10, 107,121.15 and 45,234.90

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Solution

The fourth proportional to 71,414.10, 107,121.15 and 45,234.90 is: 67,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.10 : 107,121.15 = 45,234.90 : x
  2. Step 2: Convert to fraction form
    71,414.10/107,121.15 = 45,234.90/x
  3. Step 3: Cross multiply
    71,414.10x = 107,121.15 × 45,234.90
  4. Step 4: Simplify right side
    71,414.10x = 4,845,614,508.14
  5. Step 5: Solve for x
    x = 4,845,614,508.14/71,414.10
  6. Step 6: Final answer
    x = 67,852.35

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