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Finding the Fourth Proportional to 83,884.82, 125,735.99 and 41,796

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Solution

The fourth proportional to 83,884.82, 125,735.99 and 41,796 is: 62,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884.82 : 125,735.99 = 41,796 : x
  2. Step 2: Convert to fraction form
    83,884.82/125,735.99 = 41,796/x
  3. Step 3: Cross multiply
    83,884.82x = 125,735.99 × 41,796
  4. Step 4: Simplify right side
    83,884.82x = 5,255,261,229.06
  5. Step 5: Solve for x
    x = 5,255,261,229.06/83,884.82
  6. Step 6: Final answer
    x = 62,648.54

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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.