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Finding the Fourth Proportional to 80,471.64, 120,668.58 and 33,711.96

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Solution

The fourth proportional to 80,471.64, 120,668.58 and 33,711.96 is: 50,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.64 : 120,668.58 = 33,711.96 : x
  2. Step 2: Convert to fraction form
    80,471.64/120,668.58 = 33,711.96/x
  3. Step 3: Cross multiply
    80,471.64x = 120,668.58 × 33,711.96
  4. Step 4: Simplify right side
    80,471.64x = 4,067,974,342.22
  5. Step 5: Solve for x
    x = 4,067,974,342.22/80,471.64
  6. Step 6: Final answer
    x = 50,551.65

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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.