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Finding the Fourth Proportional to 38,498.47, 57,747.15 and 12,203.28

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Solution

The fourth proportional to 38,498.47, 57,747.15 and 12,203.28 is: 18,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.47 : 57,747.15 = 12,203.28 : x
  2. Step 2: Convert to fraction form
    38,498.47/57,747.15 = 12,203.28/x
  3. Step 3: Cross multiply
    38,498.47x = 57,747.15 × 12,203.28
  4. Step 4: Simplify right side
    38,498.47x = 704,704,640.65
  5. Step 5: Solve for x
    x = 704,704,640.65/38,498.47
  6. Step 6: Final answer
    x = 18,304.75

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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.