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Finding the Fourth Proportional to 83,815.52, 125,696.52 and 27,645.12

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Solution

The fourth proportional to 83,815.52, 125,696.52 and 27,645.12 is: 41,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,815.52 : 125,696.52 = 27,645.12 : x
  2. Step 2: Convert to fraction form
    83,815.52/125,696.52 = 27,645.12/x
  3. Step 3: Cross multiply
    83,815.52x = 125,696.52 × 27,645.12
  4. Step 4: Simplify right side
    83,815.52x = 3,474,895,378.98
  5. Step 5: Solve for x
    x = 3,474,895,378.98/83,815.52
  6. Step 6: Final answer
    x = 41,458.86

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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.