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Finding the Fourth Proportional to 49,896.48, 68,856.72 and 27,540

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Solution

The fourth proportional to 49,896.48, 68,856.72 and 27,540 is: 38,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.48 : 68,856.72 = 27,540 : x
  2. Step 2: Convert to fraction form
    49,896.48/68,856.72 = 27,540/x
  3. Step 3: Cross multiply
    49,896.48x = 68,856.72 × 27,540
  4. Step 4: Simplify right side
    49,896.48x = 1,896,314,068.80
  5. Step 5: Solve for x
    x = 1,896,314,068.80/49,896.48
  6. Step 6: Final answer
    x = 38,004.97

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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.