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Finding the Fourth Proportional to 71,531.20, 107,353.50 and 37,821.16

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Solution

The fourth proportional to 71,531.20, 107,353.50 and 37,821.16 is: 56,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531.20 : 107,353.50 = 37,821.16 : x
  2. Step 2: Convert to fraction form
    71,531.20/107,353.50 = 37,821.16/x
  3. Step 3: Cross multiply
    71,531.20x = 107,353.50 × 37,821.16
  4. Step 4: Simplify right side
    71,531.20x = 4,060,233,900.06
  5. Step 5: Solve for x
    x = 4,060,233,900.06/71,531.20
  6. Step 6: Final answer
    x = 56,761.72

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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.