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Finding the Fourth Proportional to 38,016, 57,024.20 and 10,314

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Solution

The fourth proportional to 38,016, 57,024.20 and 10,314 is: 15,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 57,024.20 = 10,314 : x
  2. Step 2: Convert to fraction form
    38,016/57,024.20 = 10,314/x
  3. Step 3: Cross multiply
    38,016x = 57,024.20 × 10,314
  4. Step 4: Simplify right side
    38,016x = 588,147,624.59
  5. Step 5: Solve for x
    x = 588,147,624.59/38,016
  6. Step 6: Final answer
    x = 15,471.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.