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Finding the Fourth Proportional to 83,101.97, 114,680.26 and 45,375.95

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Solution

The fourth proportional to 83,101.97, 114,680.26 and 45,375.95 is: 62,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.97 : 114,680.26 = 45,375.95 : x
  2. Step 2: Convert to fraction form
    83,101.97/114,680.26 = 45,375.95/x
  3. Step 3: Cross multiply
    83,101.97x = 114,680.26 × 45,375.95
  4. Step 4: Simplify right side
    83,101.97x = 5,203,725,743.75
  5. Step 5: Solve for x
    x = 5,203,725,743.75/83,101.97
  6. Step 6: Final answer
    x = 62,618.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.