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Finding the Fourth Proportional to 73,268.28, 109,731.51 and 53,497.80

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Solution

The fourth proportional to 73,268.28, 109,731.51 and 53,497.80 is: 80,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,268.28 : 109,731.51 = 53,497.80 : x
  2. Step 2: Convert to fraction form
    73,268.28/109,731.51 = 53,497.80/x
  3. Step 3: Cross multiply
    73,268.28x = 109,731.51 × 53,497.80
  4. Step 4: Simplify right side
    73,268.28x = 5,870,394,375.68
  5. Step 5: Solve for x
    x = 5,870,394,375.68/73,268.28
  6. Step 6: Final answer
    x = 80,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.