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Finding the Fourth Proportional to 83,584.62, 125,408.13 and 33,678.87

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Solution

The fourth proportional to 83,584.62, 125,408.13 and 33,678.87 is: 50,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584.62 : 125,408.13 = 33,678.87 : x
  2. Step 2: Convert to fraction form
    83,584.62/125,408.13 = 33,678.87/x
  3. Step 3: Cross multiply
    83,584.62x = 125,408.13 × 33,678.87
  4. Step 4: Simplify right side
    83,584.62x = 4,223,603,480.17
  5. Step 5: Solve for x
    x = 4,223,603,480.17/83,584.62
  6. Step 6: Final answer
    x = 50,530.87

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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.