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Finding the Fourth Proportional to 83,614.36, 115,441.86 and 51,817

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Solution

The fourth proportional to 83,614.36, 115,441.86 and 51,817 is: 71,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614.36 : 115,441.86 = 51,817 : x
  2. Step 2: Convert to fraction form
    83,614.36/115,441.86 = 51,817/x
  3. Step 3: Cross multiply
    83,614.36x = 115,441.86 × 51,817
  4. Step 4: Simplify right side
    83,614.36x = 5,981,850,859.62
  5. Step 5: Solve for x
    x = 5,981,850,859.62/83,614.36
  6. Step 6: Final answer
    x = 71,540.95

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