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Finding the Fourth Proportional to 36,224.85, 49,992.84 and 20,097.32

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Solution

The fourth proportional to 36,224.85, 49,992.84 and 20,097.32 is: 27,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224.85 : 49,992.84 = 20,097.32 : x
  2. Step 2: Convert to fraction form
    36,224.85/49,992.84 = 20,097.32/x
  3. Step 3: Cross multiply
    36,224.85x = 49,992.84 × 20,097.32
  4. Step 4: Simplify right side
    36,224.85x = 1,004,721,853.22
  5. Step 5: Solve for x
    x = 1,004,721,853.22/36,224.85
  6. Step 6: Final answer
    x = 27,735.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.