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Finding the Fourth Proportional to 84,615.14, 116,821.96 and 54,452.86

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Solution

The fourth proportional to 84,615.14, 116,821.96 and 54,452.86 is: 75,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615.14 : 116,821.96 = 54,452.86 : x
  2. Step 2: Convert to fraction form
    84,615.14/116,821.96 = 54,452.86/x
  3. Step 3: Cross multiply
    84,615.14x = 116,821.96 × 54,452.86
  4. Step 4: Simplify right side
    84,615.14x = 6,361,289,404.62
  5. Step 5: Solve for x
    x = 6,361,289,404.62/84,615.14
  6. Step 6: Final answer
    x = 75,179.09

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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.