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Finding the Fourth Proportional to 52,132.64, 71,942.16 and 29,471.28

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Solution

The fourth proportional to 52,132.64, 71,942.16 and 29,471.28 is: 40,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.64 : 71,942.16 = 29,471.28 : x
  2. Step 2: Convert to fraction form
    52,132.64/71,942.16 = 29,471.28/x
  3. Step 3: Cross multiply
    52,132.64x = 71,942.16 × 29,471.28
  4. Step 4: Simplify right side
    52,132.64x = 2,120,227,541.16
  5. Step 5: Solve for x
    x = 2,120,227,541.16/52,132.64
  6. Step 6: Final answer
    x = 40,669.87

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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.