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Finding the Fourth Proportional to 41,412.25, 57,149.13 and 22,549.38

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Solution

The fourth proportional to 41,412.25, 57,149.13 and 22,549.38 is: 31,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.25 : 57,149.13 = 22,549.38 : x
  2. Step 2: Convert to fraction form
    41,412.25/57,149.13 = 22,549.38/x
  3. Step 3: Cross multiply
    41,412.25x = 57,149.13 × 22,549.38
  4. Step 4: Simplify right side
    41,412.25x = 1,288,677,449.04
  5. Step 5: Solve for x
    x = 1,288,677,449.04/41,412.25
  6. Step 6: Final answer
    x = 31,118.27

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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.