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Finding the Fourth Proportional to 38,542.87, 57,824.39 and 16,357.15

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Solution

The fourth proportional to 38,542.87, 57,824.39 and 16,357.15 is: 24,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.87 : 57,824.39 = 16,357.15 : x
  2. Step 2: Convert to fraction form
    38,542.87/57,824.39 = 16,357.15/x
  3. Step 3: Cross multiply
    38,542.87x = 57,824.39 × 16,357.15
  4. Step 4: Simplify right side
    38,542.87x = 945,842,220.89
  5. Step 5: Solve for x
    x = 945,842,220.89/38,542.87
  6. Step 6: Final answer
    x = 24,540.00

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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.