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Finding the Fourth Proportional to 47,562.50, 71,378.35 and 38,314.17

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Solution

The fourth proportional to 47,562.50, 71,378.35 and 38,314.17 is: 57,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562.50 : 71,378.35 = 38,314.17 : x
  2. Step 2: Convert to fraction form
    47,562.50/71,378.35 = 38,314.17/x
  3. Step 3: Cross multiply
    47,562.50x = 71,378.35 × 38,314.17
  4. Step 4: Simplify right side
    47,562.50x = 2,734,802,140.43
  5. Step 5: Solve for x
    x = 2,734,802,140.43/47,562.50
  6. Step 6: Final answer
    x = 57,499.12

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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.