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Finding the Fourth Proportional to 80,509.20, 120,715.80 and 49,366.80

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Solution

The fourth proportional to 80,509.20, 120,715.80 and 49,366.80 is: 74,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.20 : 120,715.80 = 49,366.80 : x
  2. Step 2: Convert to fraction form
    80,509.20/120,715.80 = 49,366.80/x
  3. Step 3: Cross multiply
    80,509.20x = 120,715.80 × 49,366.80
  4. Step 4: Simplify right side
    80,509.20x = 5,959,352,755.44
  5. Step 5: Solve for x
    x = 5,959,352,755.44/80,509.20
  6. Step 6: Final answer
    x = 74,020.77

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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.