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Finding the Fourth Proportional to 29,909.38, 41,226.82 and 20,215.80

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Solution

The fourth proportional to 29,909.38, 41,226.82 and 20,215.80 is: 27,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,909.38 : 41,226.82 = 20,215.80 : x
  2. Step 2: Convert to fraction form
    29,909.38/41,226.82 = 20,215.80/x
  3. Step 3: Cross multiply
    29,909.38x = 41,226.82 × 20,215.80
  4. Step 4: Simplify right side
    29,909.38x = 833,433,147.76
  5. Step 5: Solve for x
    x = 833,433,147.76/29,909.38
  6. Step 6: Final answer
    x = 27,865.28

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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.