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Finding the Fourth Proportional to 57,132.72, 78,843.16 and 31,982

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Solution

The fourth proportional to 57,132.72, 78,843.16 and 31,982 is: 44,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.72 : 78,843.16 = 31,982 : x
  2. Step 2: Convert to fraction form
    57,132.72/78,843.16 = 31,982/x
  3. Step 3: Cross multiply
    57,132.72x = 78,843.16 × 31,982
  4. Step 4: Simplify right side
    57,132.72x = 2,521,561,943.12
  5. Step 5: Solve for x
    x = 2,521,561,943.12/57,132.72
  6. Step 6: Final answer
    x = 44,135.16

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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.