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Finding the Fourth Proportional to 38,471.80, 57,675.70 and 16,302.20

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Solution

The fourth proportional to 38,471.80, 57,675.70 and 16,302.20 is: 24,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.80 : 57,675.70 = 16,302.20 : x
  2. Step 2: Convert to fraction form
    38,471.80/57,675.70 = 16,302.20/x
  3. Step 3: Cross multiply
    38,471.80x = 57,675.70 × 16,302.20
  4. Step 4: Simplify right side
    38,471.80x = 940,240,796.54
  5. Step 5: Solve for x
    x = 940,240,796.54/38,471.80
  6. Step 6: Final answer
    x = 24,439.74

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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.