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Finding the Fourth Proportional to 38,348.29, 52,902.06 and 24,732.73

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Solution

The fourth proportional to 38,348.29, 52,902.06 and 24,732.73 is: 34,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348.29 : 52,902.06 = 24,732.73 : x
  2. Step 2: Convert to fraction form
    38,348.29/52,902.06 = 24,732.73/x
  3. Step 3: Cross multiply
    38,348.29x = 52,902.06 × 24,732.73
  4. Step 4: Simplify right side
    38,348.29x = 1,308,412,101.91
  5. Step 5: Solve for x
    x = 1,308,412,101.91/38,348.29
  6. Step 6: Final answer
    x = 34,119.18

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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.