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Finding the Fourth Proportional to 81,424.40, 122,039.40 and 41,961.20

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Solution

The fourth proportional to 81,424.40, 122,039.40 and 41,961.20 is: 62,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,424.40 : 122,039.40 = 41,961.20 : x
  2. Step 2: Convert to fraction form
    81,424.40/122,039.40 = 41,961.20/x
  3. Step 3: Cross multiply
    81,424.40x = 122,039.40 × 41,961.20
  4. Step 4: Simplify right side
    81,424.40x = 5,120,919,671.28
  5. Step 5: Solve for x
    x = 5,120,919,671.28/81,424.40
  6. Step 6: Final answer
    x = 62,891.71

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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.