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Finding the Fourth Proportional to 38,229.60, 57,344.40 and 24,232.80

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Solution

The fourth proportional to 38,229.60, 57,344.40 and 24,232.80 is: 36,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.60 : 57,344.40 = 24,232.80 : x
  2. Step 2: Convert to fraction form
    38,229.60/57,344.40 = 24,232.80/x
  3. Step 3: Cross multiply
    38,229.60x = 57,344.40 × 24,232.80
  4. Step 4: Simplify right side
    38,229.60x = 1,389,615,376.32
  5. Step 5: Solve for x
    x = 1,389,615,376.32/38,229.60
  6. Step 6: Final answer
    x = 36,349.20

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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.