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Finding the Fourth Proportional to 83,940, 115,837.20 and 50,406.24

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Solution

The fourth proportional to 83,940, 115,837.20 and 50,406.24 is: 69,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940 : 115,837.20 = 50,406.24 : x
  2. Step 2: Convert to fraction form
    83,940/115,837.20 = 50,406.24/x
  3. Step 3: Cross multiply
    83,940x = 115,837.20 × 50,406.24
  4. Step 4: Simplify right side
    83,940x = 5,838,917,704.13
  5. Step 5: Solve for x
    x = 5,838,917,704.13/83,940
  6. Step 6: Final answer
    x = 69,560.61

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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.