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Finding the Fourth Proportional to 33,471.65, 50,207.64 and 11,285.21

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Solution

The fourth proportional to 33,471.65, 50,207.64 and 11,285.21 is: 16,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.65 : 50,207.64 = 11,285.21 : x
  2. Step 2: Convert to fraction form
    33,471.65/50,207.64 = 11,285.21/x
  3. Step 3: Cross multiply
    33,471.65x = 50,207.64 × 11,285.21
  4. Step 4: Simplify right side
    33,471.65x = 566,603,865.36
  5. Step 5: Solve for x
    x = 566,603,865.36/33,471.65
  6. Step 6: Final answer
    x = 16,927.88

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Why These Related Problems?

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