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Finding the Fourth Proportional to 71,471.13, 107,206.69 and 48,959.61

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Solution

The fourth proportional to 71,471.13, 107,206.69 and 48,959.61 is: 73,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.13 : 107,206.69 = 48,959.61 : x
  2. Step 2: Convert to fraction form
    71,471.13/107,206.69 = 48,959.61/x
  3. Step 3: Cross multiply
    71,471.13x = 107,206.69 × 48,959.61
  4. Step 4: Simplify right side
    71,471.13x = 5,248,797,731.79
  5. Step 5: Solve for x
    x = 5,248,797,731.79/71,471.13
  6. Step 6: Final answer
    x = 73,439.41

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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.