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Finding the Fourth Proportional to 40,702.52, 61,331.10 and 33,469

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Solution

The fourth proportional to 40,702.52, 61,331.10 and 33,469 is: 50,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.52 : 61,331.10 = 33,469 : x
  2. Step 2: Convert to fraction form
    40,702.52/61,331.10 = 33,469/x
  3. Step 3: Cross multiply
    40,702.52x = 61,331.10 × 33,469
  4. Step 4: Simplify right side
    40,702.52x = 2,052,690,585.90
  5. Step 5: Solve for x
    x = 2,052,690,585.90/40,702.52
  6. Step 6: Final answer
    x = 50,431.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.