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Finding the Fourth Proportional to 41,888.38, 57,752.06 and 34,306.78

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Solution

The fourth proportional to 41,888.38, 57,752.06 and 34,306.78 is: 47,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,888.38 : 57,752.06 = 34,306.78 : x
  2. Step 2: Convert to fraction form
    41,888.38/57,752.06 = 34,306.78/x
  3. Step 3: Cross multiply
    41,888.38x = 57,752.06 × 34,306.78
  4. Step 4: Simplify right side
    41,888.38x = 1,981,287,216.97
  5. Step 5: Solve for x
    x = 1,981,287,216.97/41,888.38
  6. Step 6: Final answer
    x = 47,299.21

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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.