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Finding the Fourth Proportional to 86,082.75, 118,794.20 and 48,357

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Solution

The fourth proportional to 86,082.75, 118,794.20 and 48,357 is: 66,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,082.75 : 118,794.20 = 48,357 : x
  2. Step 2: Convert to fraction form
    86,082.75/118,794.20 = 48,357/x
  3. Step 3: Cross multiply
    86,082.75x = 118,794.20 × 48,357
  4. Step 4: Simplify right side
    86,082.75x = 5,744,530,887.62
  5. Step 5: Solve for x
    x = 5,744,530,887.62/86,082.75
  6. Step 6: Final answer
    x = 66,732.66

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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.