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Finding the Fourth Proportional to 80,983.56, 111,759.54 and 45,180.54

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Solution

The fourth proportional to 80,983.56, 111,759.54 and 45,180.54 is: 62,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,983.56 : 111,759.54 = 45,180.54 : x
  2. Step 2: Convert to fraction form
    80,983.56/111,759.54 = 45,180.54/x
  3. Step 3: Cross multiply
    80,983.56x = 111,759.54 × 45,180.54
  4. Step 4: Simplify right side
    80,983.56x = 5,049,356,367.35
  5. Step 5: Solve for x
    x = 5,049,356,367.35/80,983.56
  6. Step 6: Final answer
    x = 62,350.39

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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.