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Finding the Fourth Proportional to 41,890.82, 57,868.17 and 38,107.31

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Solution

The fourth proportional to 41,890.82, 57,868.17 and 38,107.31 is: 52,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,890.82 : 57,868.17 = 38,107.31 : x
  2. Step 2: Convert to fraction form
    41,890.82/57,868.17 = 38,107.31/x
  3. Step 3: Cross multiply
    41,890.82x = 57,868.17 × 38,107.31
  4. Step 4: Simplify right side
    41,890.82x = 2,205,200,293.32
  5. Step 5: Solve for x
    x = 2,205,200,293.32/41,890.82
  6. Step 6: Final answer
    x = 52,641.61

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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.