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Finding the Fourth Proportional to 38,286.40, 57,487.20 and 29,531.20

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Solution

The fourth proportional to 38,286.40, 57,487.20 and 29,531.20 is: 44,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.40 : 57,487.20 = 29,531.20 : x
  2. Step 2: Convert to fraction form
    38,286.40/57,487.20 = 29,531.20/x
  3. Step 3: Cross multiply
    38,286.40x = 57,487.20 × 29,531.20
  4. Step 4: Simplify right side
    38,286.40x = 1,697,666,000.64
  5. Step 5: Solve for x
    x = 1,697,666,000.64/38,286.40
  6. Step 6: Final answer
    x = 44,341.23

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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.