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Finding the Fourth Proportional to 71,523.80, 107,356.32 and 53,692.46

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Solution

The fourth proportional to 71,523.80, 107,356.32 and 53,692.46 is: 80,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523.80 : 107,356.32 = 53,692.46 : x
  2. Step 2: Convert to fraction form
    71,523.80/107,356.32 = 53,692.46/x
  3. Step 3: Cross multiply
    71,523.80x = 107,356.32 × 53,692.46
  4. Step 4: Simplify right side
    71,523.80x = 5,764,224,917.35
  5. Step 5: Solve for x
    x = 5,764,224,917.35/71,523.80
  6. Step 6: Final answer
    x = 80,591.70

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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.