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Finding the Fourth Proportional to 27,494.52, 37,951.38 and 16,163.82

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Solution

The fourth proportional to 27,494.52, 37,951.38 and 16,163.82 is: 22,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.52 : 37,951.38 = 16,163.82 : x
  2. Step 2: Convert to fraction form
    27,494.52/37,951.38 = 16,163.82/x
  3. Step 3: Cross multiply
    27,494.52x = 37,951.38 × 16,163.82
  4. Step 4: Simplify right side
    27,494.52x = 613,439,275.07
  5. Step 5: Solve for x
    x = 613,439,275.07/27,494.52
  6. Step 6: Final answer
    x = 22,311.33

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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.