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Finding the Fourth Proportional to 33,183.65, 49,658.52 and 20,709.54

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Solution

The fourth proportional to 33,183.65, 49,658.52 and 20,709.54 is: 30,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183.65 : 49,658.52 = 20,709.54 : x
  2. Step 2: Convert to fraction form
    33,183.65/49,658.52 = 20,709.54/x
  3. Step 3: Cross multiply
    33,183.65x = 49,658.52 × 20,709.54
  4. Step 4: Simplify right side
    33,183.65x = 1,028,405,106.28
  5. Step 5: Solve for x
    x = 1,028,405,106.28/33,183.65
  6. Step 6: Final answer
    x = 30,991.32

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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.