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Finding the Fourth Proportional to 80,571.78, 120,816.17 and 36,160.46

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Solution

The fourth proportional to 80,571.78, 120,816.17 and 36,160.46 is: 54,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,571.78 : 120,816.17 = 36,160.46 : x
  2. Step 2: Convert to fraction form
    80,571.78/120,816.17 = 36,160.46/x
  3. Step 3: Cross multiply
    80,571.78x = 120,816.17 × 36,160.46
  4. Step 4: Simplify right side
    80,571.78x = 4,368,768,282.64
  5. Step 5: Solve for x
    x = 4,368,768,282.64/80,571.78
  6. Step 6: Final answer
    x = 54,222.06

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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.