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Finding the Fourth Proportional to 57,414.20, 85,967.94 and 33,702.08

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Solution

The fourth proportional to 57,414.20, 85,967.94 and 33,702.08 is: 50,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414.20 : 85,967.94 = 33,702.08 : x
  2. Step 2: Convert to fraction form
    57,414.20/85,967.94 = 33,702.08/x
  3. Step 3: Cross multiply
    57,414.20x = 85,967.94 × 33,702.08
  4. Step 4: Simplify right side
    57,414.20x = 2,897,298,391.32
  5. Step 5: Solve for x
    x = 2,897,298,391.32/57,414.20
  6. Step 6: Final answer
    x = 50,463.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.