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Finding the Fourth Proportional to 83,891.38, 115,766.60 and 46,163.20

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Solution

The fourth proportional to 83,891.38, 115,766.60 and 46,163.20 is: 63,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.38 : 115,766.60 = 46,163.20 : x
  2. Step 2: Convert to fraction form
    83,891.38/115,766.60 = 46,163.20/x
  3. Step 3: Cross multiply
    83,891.38x = 115,766.60 × 46,163.20
  4. Step 4: Simplify right side
    83,891.38x = 5,344,156,709.12
  5. Step 5: Solve for x
    x = 5,344,156,709.12/83,891.38
  6. Step 6: Final answer
    x = 63,703.29

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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.