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Finding the Fourth Proportional to 80,923.31, 111,674.28 and 45,112.55

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Solution

The fourth proportional to 80,923.31, 111,674.28 and 45,112.55 is: 62,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,923.31 : 111,674.28 = 45,112.55 : x
  2. Step 2: Convert to fraction form
    80,923.31/111,674.28 = 45,112.55/x
  3. Step 3: Cross multiply
    80,923.31x = 111,674.28 × 45,112.55
  4. Step 4: Simplify right side
    80,923.31x = 5,037,910,981.84
  5. Step 5: Solve for x
    x = 5,037,910,981.84/80,923.31
  6. Step 6: Final answer
    x = 62,255.38

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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.