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Finding the Fourth Proportional to 38,497.40, 57,747.90 and 12,204.20

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Solution

The fourth proportional to 38,497.40, 57,747.90 and 12,204.20 is: 18,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.40 : 57,747.90 = 12,204.20 : x
  2. Step 2: Convert to fraction form
    38,497.40/57,747.90 = 12,204.20/x
  3. Step 3: Cross multiply
    38,497.40x = 57,747.90 × 12,204.20
  4. Step 4: Simplify right side
    38,497.40x = 704,766,921.18
  5. Step 5: Solve for x
    x = 704,766,921.18/38,497.40
  6. Step 6: Final answer
    x = 18,306.87

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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.