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Finding the Fourth Proportional to 38,423.40, 57,635.10 and 16,229.40

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Solution

The fourth proportional to 38,423.40, 57,635.10 and 16,229.40 is: 24,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.40 : 57,635.10 = 16,229.40 : x
  2. Step 2: Convert to fraction form
    38,423.40/57,635.10 = 16,229.40/x
  3. Step 3: Cross multiply
    38,423.40x = 57,635.10 × 16,229.40
  4. Step 4: Simplify right side
    38,423.40x = 935,383,091.94
  5. Step 5: Solve for x
    x = 935,383,091.94/38,423.40
  6. Step 6: Final answer
    x = 24,344.10

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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.