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Finding the Fourth Proportional to 38,428.80, 57,611.20 and 16,259.20

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Solution

The fourth proportional to 38,428.80, 57,611.20 and 16,259.20 is: 24,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.80 : 57,611.20 = 16,259.20 : x
  2. Step 2: Convert to fraction form
    38,428.80/57,611.20 = 16,259.20/x
  3. Step 3: Cross multiply
    38,428.80x = 57,611.20 × 16,259.20
  4. Step 4: Simplify right side
    38,428.80x = 936,712,023.04
  5. Step 5: Solve for x
    x = 936,712,023.04/38,428.80
  6. Step 6: Final answer
    x = 24,375.26

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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.