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Finding the Fourth Proportional to 36,082.96, 49,796.82 and 20,168.08

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Solution

The fourth proportional to 36,082.96, 49,796.82 and 20,168.08 is: 27,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,082.96 : 49,796.82 = 20,168.08 : x
  2. Step 2: Convert to fraction form
    36,082.96/49,796.82 = 20,168.08/x
  3. Step 3: Cross multiply
    36,082.96x = 49,796.82 × 20,168.08
  4. Step 4: Simplify right side
    36,082.96x = 1,004,306,249.51
  5. Step 5: Solve for x
    x = 1,004,306,249.51/36,082.96
  6. Step 6: Final answer
    x = 27,833.26

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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.