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Finding the Fourth Proportional to 75,162.97, 103,723.76 and 41,171.18

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Solution

The fourth proportional to 75,162.97, 103,723.76 and 41,171.18 is: 56,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.97 : 103,723.76 = 41,171.18 : x
  2. Step 2: Convert to fraction form
    75,162.97/103,723.76 = 41,171.18/x
  3. Step 3: Cross multiply
    75,162.97x = 103,723.76 × 41,171.18
  4. Step 4: Simplify right side
    75,162.97x = 4,270,429,387.38
  5. Step 5: Solve for x
    x = 4,270,429,387.38/75,162.97
  6. Step 6: Final answer
    x = 56,815.61

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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.