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Finding the Fourth Proportional to 36,081.54, 49,792.38 and 20,165.97

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Solution

The fourth proportional to 36,081.54, 49,792.38 and 20,165.97 is: 27,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,081.54 : 49,792.38 = 20,165.97 : x
  2. Step 2: Convert to fraction form
    36,081.54/49,792.38 = 20,165.97/x
  3. Step 3: Cross multiply
    36,081.54x = 49,792.38 × 20,165.97
  4. Step 4: Simplify right side
    36,081.54x = 1,004,111,641.31
  5. Step 5: Solve for x
    x = 1,004,111,641.31/36,081.54
  6. Step 6: Final answer
    x = 27,828.96

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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.