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Finding the Fourth Proportional to 41,781.97, 62,678.82 and 12,201.97

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Solution

The fourth proportional to 41,781.97, 62,678.82 and 12,201.97 is: 18,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781.97 : 62,678.82 = 12,201.97 : x
  2. Step 2: Convert to fraction form
    41,781.97/62,678.82 = 12,201.97/x
  3. Step 3: Cross multiply
    41,781.97x = 62,678.82 × 12,201.97
  4. Step 4: Simplify right side
    41,781.97x = 764,805,081.28
  5. Step 5: Solve for x
    x = 764,805,081.28/41,781.97
  6. Step 6: Final answer
    x = 18,304.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.