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Finding the Fourth Proportional to 50,508.27, 69,698.27 and 27,846.09

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Solution

The fourth proportional to 50,508.27, 69,698.27 and 27,846.09 is: 38,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.27 : 69,698.27 = 27,846.09 : x
  2. Step 2: Convert to fraction form
    50,508.27/69,698.27 = 27,846.09/x
  3. Step 3: Cross multiply
    50,508.27x = 69,698.27 × 27,846.09
  4. Step 4: Simplify right side
    50,508.27x = 1,940,824,160.03
  5. Step 5: Solve for x
    x = 1,940,824,160.03/50,508.27
  6. Step 6: Final answer
    x = 38,425.87

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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.