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Finding the Fourth Proportional to 71,692.86, 107,536.86 and 27,318.02

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Solution

The fourth proportional to 71,692.86, 107,536.86 and 27,318.02 is: 40,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.86 : 107,536.86 = 27,318.02 : x
  2. Step 2: Convert to fraction form
    71,692.86/107,536.86 = 27,318.02/x
  3. Step 3: Cross multiply
    71,692.86x = 107,536.86 × 27,318.02
  4. Step 4: Simplify right side
    71,692.86x = 2,937,694,092.22
  5. Step 5: Solve for x
    x = 2,937,694,092.22/71,692.86
  6. Step 6: Final answer
    x = 40,976.10

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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.