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Finding the Fourth Proportional to 50,502.22, 69,689.86 and 27,839.97

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Solution

The fourth proportional to 50,502.22, 69,689.86 and 27,839.97 is: 38,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.22 : 69,689.86 = 27,839.97 : x
  2. Step 2: Convert to fraction form
    50,502.22/69,689.86 = 27,839.97/x
  3. Step 3: Cross multiply
    50,502.22x = 69,689.86 × 27,839.97
  4. Step 4: Simplify right side
    50,502.22x = 1,940,163,542.10
  5. Step 5: Solve for x
    x = 1,940,163,542.10/50,502.22
  6. Step 6: Final answer
    x = 38,417.39

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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.