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Finding the Fourth Proportional to 38,016.08, 57,024.15 and 10,314.08

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Solution

The fourth proportional to 38,016.08, 57,024.15 and 10,314.08 is: 15,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016.08 : 57,024.15 = 10,314.08 : x
  2. Step 2: Convert to fraction form
    38,016.08/57,024.15 = 10,314.08/x
  3. Step 3: Cross multiply
    38,016.08x = 57,024.15 × 10,314.08
  4. Step 4: Simplify right side
    38,016.08x = 588,151,645.03
  5. Step 5: Solve for x
    x = 588,151,645.03/38,016.08
  6. Step 6: Final answer
    x = 15,471.13

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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.