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Finding the Fourth Proportional to 36,062.82, 49,769.01 and 20,147.31

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Solution

The fourth proportional to 36,062.82, 49,769.01 and 20,147.31 is: 27,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,062.82 : 49,769.01 = 20,147.31 : x
  2. Step 2: Convert to fraction form
    36,062.82/49,769.01 = 20,147.31/x
  3. Step 3: Cross multiply
    36,062.82x = 49,769.01 × 20,147.31
  4. Step 4: Simplify right side
    36,062.82x = 1,002,711,672.86
  5. Step 5: Solve for x
    x = 1,002,711,672.86/36,062.82
  6. Step 6: Final answer
    x = 27,804.58

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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.