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Finding the Fourth Proportional to 71,517.06, 107,251.29 and 24,759

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Solution

The fourth proportional to 71,517.06, 107,251.29 and 24,759 is: 37,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.06 : 107,251.29 = 24,759 : x
  2. Step 2: Convert to fraction form
    71,517.06/107,251.29 = 24,759/x
  3. Step 3: Cross multiply
    71,517.06x = 107,251.29 × 24,759
  4. Step 4: Simplify right side
    71,517.06x = 2,655,434,689.11
  5. Step 5: Solve for x
    x = 2,655,434,689.11/71,517.06
  6. Step 6: Final answer
    x = 37,130.09

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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.