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Finding the Fourth Proportional to 49,924.92, 68,896.62 and 27,568.92

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Solution

The fourth proportional to 49,924.92, 68,896.62 and 27,568.92 is: 38,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924.92 : 68,896.62 = 27,568.92 : x
  2. Step 2: Convert to fraction form
    49,924.92/68,896.62 = 27,568.92/x
  3. Step 3: Cross multiply
    49,924.92x = 68,896.62 × 27,568.92
  4. Step 4: Simplify right side
    49,924.92x = 1,899,405,405.05
  5. Step 5: Solve for x
    x = 1,899,405,405.05/49,924.92
  6. Step 6: Final answer
    x = 38,045.24

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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.