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Finding the Fourth Proportional to 57,469.50, 86,142.89 and 27,822.29

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Solution

The fourth proportional to 57,469.50, 86,142.89 and 27,822.29 is: 41,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,469.50 : 86,142.89 = 27,822.29 : x
  2. Step 2: Convert to fraction form
    57,469.50/86,142.89 = 27,822.29/x
  3. Step 3: Cross multiply
    57,469.50x = 86,142.89 × 27,822.29
  4. Step 4: Simplify right side
    57,469.50x = 2,396,692,105.86
  5. Step 5: Solve for x
    x = 2,396,692,105.86/57,469.50
  6. Step 6: Final answer
    x = 41,703.72

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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.