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Finding the Fourth Proportional to 71,569.50, 107,365.98 and 29,438.16

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Solution

The fourth proportional to 71,569.50, 107,365.98 and 29,438.16 is: 44,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569.50 : 107,365.98 = 29,438.16 : x
  2. Step 2: Convert to fraction form
    71,569.50/107,365.98 = 29,438.16/x
  3. Step 3: Cross multiply
    71,569.50x = 107,365.98 × 29,438.16
  4. Step 4: Simplify right side
    71,569.50x = 3,160,656,897.80
  5. Step 5: Solve for x
    x = 3,160,656,897.80/71,569.50
  6. Step 6: Final answer
    x = 44,162.06

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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.