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Finding the Fourth Proportional to 83,204.10, 124,721.10 and 41,019.30

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Solution

The fourth proportional to 83,204.10, 124,721.10 and 41,019.30 is: 61,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,204.10 : 124,721.10 = 41,019.30 : x
  2. Step 2: Convert to fraction form
    83,204.10/124,721.10 = 41,019.30/x
  3. Step 3: Cross multiply
    83,204.10x = 124,721.10 × 41,019.30
  4. Step 4: Simplify right side
    83,204.10x = 5,115,972,217.23
  5. Step 5: Solve for x
    x = 5,115,972,217.23/83,204.10
  6. Step 6: Final answer
    x = 61,487.02

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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.