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Finding the Fourth Proportional to 87,692.59, 131,209.77 and 52,023.30

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Solution

The fourth proportional to 87,692.59, 131,209.77 and 52,023.30 is: 77,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,692.59 : 131,209.77 = 52,023.30 : x
  2. Step 2: Convert to fraction form
    87,692.59/131,209.77 = 52,023.30/x
  3. Step 3: Cross multiply
    87,692.59x = 131,209.77 × 52,023.30
  4. Step 4: Simplify right side
    87,692.59x = 6,825,964,930.69
  5. Step 5: Solve for x
    x = 6,825,964,930.69/87,692.59
  6. Step 6: Final answer
    x = 77,839.70

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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.