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Finding the Fourth Proportional to 38,400.80, 57,569.20 and 16,231.20

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Solution

The fourth proportional to 38,400.80, 57,569.20 and 16,231.20 is: 24,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.80 : 57,569.20 = 16,231.20 : x
  2. Step 2: Convert to fraction form
    38,400.80/57,569.20 = 16,231.20/x
  3. Step 3: Cross multiply
    38,400.80x = 57,569.20 × 16,231.20
  4. Step 4: Simplify right side
    38,400.80x = 934,417,199.04
  5. Step 5: Solve for x
    x = 934,417,199.04/38,400.80
  6. Step 6: Final answer
    x = 24,333.27

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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.