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Finding the Fourth Proportional to 38,456.52, 57,695.40 and 16,258.20

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Solution

The fourth proportional to 38,456.52, 57,695.40 and 16,258.20 is: 24,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.52 : 57,695.40 = 16,258.20 : x
  2. Step 2: Convert to fraction form
    38,456.52/57,695.40 = 16,258.20/x
  3. Step 3: Cross multiply
    38,456.52x = 57,695.40 × 16,258.20
  4. Step 4: Simplify right side
    38,456.52x = 938,023,352.28
  5. Step 5: Solve for x
    x = 938,023,352.28/38,456.52
  6. Step 6: Final answer
    x = 24,391.79

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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.