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Finding the Fourth Proportional to 29,979.38, 41,371.32 and 16,550.65

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Solution

The fourth proportional to 29,979.38, 41,371.32 and 16,550.65 is: 22,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,979.38 : 41,371.32 = 16,550.65 : x
  2. Step 2: Convert to fraction form
    29,979.38/41,371.32 = 16,550.65/x
  3. Step 3: Cross multiply
    29,979.38x = 41,371.32 × 16,550.65
  4. Step 4: Simplify right side
    29,979.38x = 684,722,237.36
  5. Step 5: Solve for x
    x = 684,722,237.36/29,979.38
  6. Step 6: Final answer
    x = 22,839.77

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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.