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Finding the Fourth Proportional to 38,219.50, 57,299.09 and 24,149.88

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Solution

The fourth proportional to 38,219.50, 57,299.09 and 24,149.88 is: 36,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219.50 : 57,299.09 = 24,149.88 : x
  2. Step 2: Convert to fraction form
    38,219.50/57,299.09 = 24,149.88/x
  3. Step 3: Cross multiply
    38,219.50x = 57,299.09 × 24,149.88
  4. Step 4: Simplify right side
    38,219.50x = 1,383,766,147.61
  5. Step 5: Solve for x
    x = 1,383,766,147.61/38,219.50
  6. Step 6: Final answer
    x = 36,205.76

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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.