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Finding the Fourth Proportional to 57,122.61, 78,829.18 and 31,972.11

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Solution

The fourth proportional to 57,122.61, 78,829.18 and 31,972.11 is: 44,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122.61 : 78,829.18 = 31,972.11 : x
  2. Step 2: Convert to fraction form
    57,122.61/78,829.18 = 31,972.11/x
  3. Step 3: Cross multiply
    57,122.61x = 78,829.18 × 31,972.11
  4. Step 4: Simplify right side
    57,122.61x = 2,520,335,214.17
  5. Step 5: Solve for x
    x = 2,520,335,214.17/57,122.61
  6. Step 6: Final answer
    x = 44,121.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.