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Finding the Fourth Proportional to 57,680.82, 86,469.39 and 22,645.62

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Solution

The fourth proportional to 57,680.82, 86,469.39 and 22,645.62 is: 33,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.82 : 86,469.39 = 22,645.62 : x
  2. Step 2: Convert to fraction form
    57,680.82/86,469.39 = 22,645.62/x
  3. Step 3: Cross multiply
    57,680.82x = 86,469.39 × 22,645.62
  4. Step 4: Simplify right side
    57,680.82x = 1,958,152,947.57
  5. Step 5: Solve for x
    x = 1,958,152,947.57/57,680.82
  6. Step 6: Final answer
    x = 33,948.08

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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.