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Finding the Fourth Proportional to 67,884.62, 101,828.07 and 23,512.68

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Solution

The fourth proportional to 67,884.62, 101,828.07 and 23,512.68 is: 35,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,884.62 : 101,828.07 = 23,512.68 : x
  2. Step 2: Convert to fraction form
    67,884.62/101,828.07 = 23,512.68/x
  3. Step 3: Cross multiply
    67,884.62x = 101,828.07 × 23,512.68
  4. Step 4: Simplify right side
    67,884.62x = 2,394,250,824.93
  5. Step 5: Solve for x
    x = 2,394,250,824.93/67,884.62
  6. Step 6: Final answer
    x = 35,269.42

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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.