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Finding the Fourth Proportional to 57,147.90, 78,864.03 and 31,997.58

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Solution

The fourth proportional to 57,147.90, 78,864.03 and 31,997.58 is: 44,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.90 : 78,864.03 = 31,997.58 : x
  2. Step 2: Convert to fraction form
    57,147.90/78,864.03 = 31,997.58/x
  3. Step 3: Cross multiply
    57,147.90x = 78,864.03 × 31,997.58
  4. Step 4: Simplify right side
    57,147.90x = 2,523,458,109.05
  5. Step 5: Solve for x
    x = 2,523,458,109.05/57,147.90
  6. Step 6: Final answer
    x = 44,156.62

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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.