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Finding the Fourth Proportional to 49,896.52, 68,857.26 and 27,540.52

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Solution

The fourth proportional to 49,896.52, 68,857.26 and 27,540.52 is: 38,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.52 : 68,857.26 = 27,540.52 : x
  2. Step 2: Convert to fraction form
    49,896.52/68,857.26 = 27,540.52/x
  3. Step 3: Cross multiply
    49,896.52x = 68,857.26 × 27,540.52
  4. Step 4: Simplify right side
    49,896.52x = 1,896,364,746.18
  5. Step 5: Solve for x
    x = 1,896,364,746.18/49,896.52
  6. Step 6: Final answer
    x = 38,005.95

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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.