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Finding the Fourth Proportional to 83,891.64, 115,770.42 and 46,165.68

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Solution

The fourth proportional to 83,891.64, 115,770.42 and 46,165.68 is: 63,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.64 : 115,770.42 = 46,165.68 : x
  2. Step 2: Convert to fraction form
    83,891.64/115,770.42 = 46,165.68/x
  3. Step 3: Cross multiply
    83,891.64x = 115,770.42 × 46,165.68
  4. Step 4: Simplify right side
    83,891.64x = 5,344,620,163.19
  5. Step 5: Solve for x
    x = 5,344,620,163.19/83,891.64
  6. Step 6: Final answer
    x = 63,708.61

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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.