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Finding the Fourth Proportional to 86,195.80, 118,941.78 and 48,469.24

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Solution

The fourth proportional to 86,195.80, 118,941.78 and 48,469.24 is: 66,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,195.80 : 118,941.78 = 48,469.24 : x
  2. Step 2: Convert to fraction form
    86,195.80/118,941.78 = 48,469.24/x
  3. Step 3: Cross multiply
    86,195.80x = 118,941.78 × 48,469.24
  4. Step 4: Simplify right side
    86,195.80x = 5,765,017,680.85
  5. Step 5: Solve for x
    x = 5,765,017,680.85/86,195.80
  6. Step 6: Final answer
    x = 66,882.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.