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Finding the Fourth Proportional to 80,963.80, 121,388.10 and 31,024.60

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Solution

The fourth proportional to 80,963.80, 121,388.10 and 31,024.60 is: 46,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,963.80 : 121,388.10 = 31,024.60 : x
  2. Step 2: Convert to fraction form
    80,963.80/121,388.10 = 31,024.60/x
  3. Step 3: Cross multiply
    80,963.80x = 121,388.10 × 31,024.60
  4. Step 4: Simplify right side
    80,963.80x = 3,766,017,247.26
  5. Step 5: Solve for x
    x = 3,766,017,247.26/80,963.80
  6. Step 6: Final answer
    x = 46,514.83

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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.