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Finding the Fourth Proportional to 80,222.52, 120,377.52 and 35,847.48

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Solution

The fourth proportional to 80,222.52, 120,377.52 and 35,847.48 is: 53,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,222.52 : 120,377.52 = 35,847.48 : x
  2. Step 2: Convert to fraction form
    80,222.52/120,377.52 = 35,847.48/x
  3. Step 3: Cross multiply
    80,222.52x = 120,377.52 × 35,847.48
  4. Step 4: Simplify right side
    80,222.52x = 4,315,230,740.65
  5. Step 5: Solve for x
    x = 4,315,230,740.65/80,222.52
  6. Step 6: Final answer
    x = 53,790.77

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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.