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Finding the Fourth Proportional to 80,969.97, 111,738.74 and 45,162.28

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Solution

The fourth proportional to 80,969.97, 111,738.74 and 45,162.28 is: 62,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.97 : 111,738.74 = 45,162.28 : x
  2. Step 2: Convert to fraction form
    80,969.97/111,738.74 = 45,162.28/x
  3. Step 3: Cross multiply
    80,969.97x = 111,738.74 × 45,162.28
  4. Step 4: Simplify right side
    80,969.97x = 5,046,376,262.73
  5. Step 5: Solve for x
    x = 5,046,376,262.73/80,969.97
  6. Step 6: Final answer
    x = 62,324.05

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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.