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Finding the Fourth Proportional to 71,823.97, 107,727.72 and 27,449.74

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Solution

The fourth proportional to 71,823.97, 107,727.72 and 27,449.74 is: 41,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,823.97 : 107,727.72 = 27,449.74 : x
  2. Step 2: Convert to fraction form
    71,823.97/107,727.72 = 27,449.74/x
  3. Step 3: Cross multiply
    71,823.97x = 107,727.72 × 27,449.74
  4. Step 4: Simplify right side
    71,823.97x = 2,957,097,904.79
  5. Step 5: Solve for x
    x = 2,957,097,904.79/71,823.97
  6. Step 6: Final answer
    x = 41,171.46

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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.