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Finding the Fourth Proportional to 38,170.30, 57,255.85 and 10,468.30

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Solution

The fourth proportional to 38,170.30, 57,255.85 and 10,468.30 is: 15,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170.30 : 57,255.85 = 10,468.30 : x
  2. Step 2: Convert to fraction form
    38,170.30/57,255.85 = 10,468.30/x
  3. Step 3: Cross multiply
    38,170.30x = 57,255.85 × 10,468.30
  4. Step 4: Simplify right side
    38,170.30x = 599,371,414.56
  5. Step 5: Solve for x
    x = 599,371,414.56/38,170.30
  6. Step 6: Final answer
    x = 15,702.56

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