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Finding the Fourth Proportional to 80,829.81, 111,591.41 and 54,017.73

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Solution

The fourth proportional to 80,829.81, 111,591.41 and 54,017.73 is: 74,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,829.81 : 111,591.41 = 54,017.73 : x
  2. Step 2: Convert to fraction form
    80,829.81/111,591.41 = 54,017.73/x
  3. Step 3: Cross multiply
    80,829.81x = 111,591.41 × 54,017.73
  4. Step 4: Simplify right side
    80,829.81x = 6,027,914,385.61
  5. Step 5: Solve for x
    x = 6,027,914,385.61/80,829.81
  6. Step 6: Final answer
    x = 74,575.39

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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.