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Finding the Fourth Proportional to 33,488.49, 50,165.75 and 20,154.09

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Solution

The fourth proportional to 33,488.49, 50,165.75 and 20,154.09 is: 30,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488.49 : 50,165.75 = 20,154.09 : x
  2. Step 2: Convert to fraction form
    33,488.49/50,165.75 = 20,154.09/x
  3. Step 3: Cross multiply
    33,488.49x = 50,165.75 × 20,154.09
  4. Step 4: Simplify right side
    33,488.49x = 1,011,044,939.65
  5. Step 5: Solve for x
    x = 1,011,044,939.65/33,488.49
  6. Step 6: Final answer
    x = 30,190.82

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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.