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Finding the Fourth Proportional to 41,105.38, 56,725.42 and 22,242.50

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Solution

The fourth proportional to 41,105.38, 56,725.42 and 22,242.50 is: 30,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.38 : 56,725.42 = 22,242.50 : x
  2. Step 2: Convert to fraction form
    41,105.38/56,725.42 = 22,242.50/x
  3. Step 3: Cross multiply
    41,105.38x = 56,725.42 × 22,242.50
  4. Step 4: Simplify right side
    41,105.38x = 1,261,715,154.35
  5. Step 5: Solve for x
    x = 1,261,715,154.35/41,105.38
  6. Step 6: Final answer
    x = 30,694.65

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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.