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Finding the Fourth Proportional to 83,202.39, 124,823.16 and 27,042.66

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Solution

The fourth proportional to 83,202.39, 124,823.16 and 27,042.66 is: 40,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.39 : 124,823.16 = 27,042.66 : x
  2. Step 2: Convert to fraction form
    83,202.39/124,823.16 = 27,042.66/x
  3. Step 3: Cross multiply
    83,202.39x = 124,823.16 × 27,042.66
  4. Step 4: Simplify right side
    83,202.39x = 3,375,550,276.01
  5. Step 5: Solve for x
    x = 3,375,550,276.01/83,202.39
  6. Step 6: Final answer
    x = 40,570.35

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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.