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Finding the Fourth Proportional to 73,371.96, 110,072.16 and 31,251.24

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Solution

The fourth proportional to 73,371.96, 110,072.16 and 31,251.24 is: 46,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,371.96 : 110,072.16 = 31,251.24 : x
  2. Step 2: Convert to fraction form
    73,371.96/110,072.16 = 31,251.24/x
  3. Step 3: Cross multiply
    73,371.96x = 110,072.16 × 31,251.24
  4. Step 4: Simplify right side
    73,371.96x = 3,439,891,489.48
  5. Step 5: Solve for x
    x = 3,439,891,489.48/73,371.96
  6. Step 6: Final answer
    x = 46,882.92

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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.