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Finding the Fourth Proportional to 41,909.38, 57,834.43 and 31,202.08

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Solution

The fourth proportional to 41,909.38, 57,834.43 and 31,202.08 is: 43,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,909.38 : 57,834.43 = 31,202.08 : x
  2. Step 2: Convert to fraction form
    41,909.38/57,834.43 = 31,202.08/x
  3. Step 3: Cross multiply
    41,909.38x = 57,834.43 × 31,202.08
  4. Step 4: Simplify right side
    41,909.38x = 1,804,554,511.61
  5. Step 5: Solve for x
    x = 1,804,554,511.61/41,909.38
  6. Step 6: Final answer
    x = 43,058.49

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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.