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Finding the Fourth Proportional to 49,216.92, 67,920.84 and 27,998.16

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Solution

The fourth proportional to 49,216.92, 67,920.84 and 27,998.16 is: 38,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216.92 : 67,920.84 = 27,998.16 : x
  2. Step 2: Convert to fraction form
    49,216.92/67,920.84 = 27,998.16/x
  3. Step 3: Cross multiply
    49,216.92x = 67,920.84 × 27,998.16
  4. Step 4: Simplify right side
    49,216.92x = 1,901,658,545.65
  5. Step 5: Solve for x
    x = 1,901,658,545.65/49,216.92
  6. Step 6: Final answer
    x = 38,638.31

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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.