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Finding the Fourth Proportional to 49,251.91, 67,969.25 and 27,742.05

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Solution

The fourth proportional to 49,251.91, 67,969.25 and 27,742.05 is: 38,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251.91 : 67,969.25 = 27,742.05 : x
  2. Step 2: Convert to fraction form
    49,251.91/67,969.25 = 27,742.05/x
  3. Step 3: Cross multiply
    49,251.91x = 67,969.25 × 27,742.05
  4. Step 4: Simplify right side
    49,251.91x = 1,885,606,424.73
  5. Step 5: Solve for x
    x = 1,885,606,424.73/49,251.91
  6. Step 6: Final answer
    x = 38,284.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.