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Finding the Fourth Proportional to 38,414.38, 57,620.99 and 23,425.90

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Solution

The fourth proportional to 38,414.38, 57,620.99 and 23,425.90 is: 35,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.38 : 57,620.99 = 23,425.90 : x
  2. Step 2: Convert to fraction form
    38,414.38/57,620.99 = 23,425.90/x
  3. Step 3: Cross multiply
    38,414.38x = 57,620.99 × 23,425.90
  4. Step 4: Simplify right side
    38,414.38x = 1,349,823,549.64
  5. Step 5: Solve for x
    x = 1,349,823,549.64/38,414.38
  6. Step 6: Final answer
    x = 35,138.50

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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.