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Finding the Fourth Proportional to 38,198.91, 52,713.68 and 21,202.17

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Solution

The fourth proportional to 38,198.91, 52,713.68 and 21,202.17 is: 29,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.91 : 52,713.68 = 21,202.17 : x
  2. Step 2: Convert to fraction form
    38,198.91/52,713.68 = 21,202.17/x
  3. Step 3: Cross multiply
    38,198.91x = 52,713.68 × 21,202.17
  4. Step 4: Simplify right side
    38,198.91x = 1,117,644,404.69
  5. Step 5: Solve for x
    x = 1,117,644,404.69/38,198.91
  6. Step 6: Final answer
    x = 29,258.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.