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Finding the Fourth Proportional to 80,571.26, 120,882.71 and 33,208.53

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Solution

The fourth proportional to 80,571.26, 120,882.71 and 33,208.53 is: 49,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,571.26 : 120,882.71 = 33,208.53 : x
  2. Step 2: Convert to fraction form
    80,571.26/120,882.71 = 33,208.53/x
  3. Step 3: Cross multiply
    80,571.26x = 120,882.71 × 33,208.53
  4. Step 4: Simplify right side
    80,571.26x = 4,014,337,101.52
  5. Step 5: Solve for x
    x = 4,014,337,101.52/80,571.26
  6. Step 6: Final answer
    x = 49,823.44

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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.