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Finding the Fourth Proportional to 38,016.58, 57,024.90 and 10,314.58

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Solution

The fourth proportional to 38,016.58, 57,024.90 and 10,314.58 is: 15,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016.58 : 57,024.90 = 10,314.58 : x
  2. Step 2: Convert to fraction form
    38,016.58/57,024.90 = 10,314.58/x
  3. Step 3: Cross multiply
    38,016.58x = 57,024.90 × 10,314.58
  4. Step 4: Simplify right side
    38,016.58x = 588,187,893.04
  5. Step 5: Solve for x
    x = 588,187,893.04/38,016.58
  6. Step 6: Final answer
    x = 15,471.88

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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.