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Finding the Fourth Proportional to 33,896.96, 50,842.20 and 20,742.56

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Solution

The fourth proportional to 33,896.96, 50,842.20 and 20,742.56 is: 31,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896.96 : 50,842.20 = 20,742.56 : x
  2. Step 2: Convert to fraction form
    33,896.96/50,842.20 = 20,742.56/x
  3. Step 3: Cross multiply
    33,896.96x = 50,842.20 × 20,742.56
  4. Step 4: Simplify right side
    33,896.96x = 1,054,597,384.03
  5. Step 5: Solve for x
    x = 1,054,597,384.03/33,896.96
  6. Step 6: Final answer
    x = 31,111.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.