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Finding the Fourth Proportional to 80,161.84, 120,253.68 and 33,403.78

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Solution

The fourth proportional to 80,161.84, 120,253.68 and 33,403.78 is: 50,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,161.84 : 120,253.68 = 33,403.78 : x
  2. Step 2: Convert to fraction form
    80,161.84/120,253.68 = 33,403.78/x
  3. Step 3: Cross multiply
    80,161.84x = 120,253.68 × 33,403.78
  4. Step 4: Simplify right side
    80,161.84x = 4,016,927,470.91
  5. Step 5: Solve for x
    x = 4,016,927,470.91/80,161.84
  6. Step 6: Final answer
    x = 50,110.22

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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.