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Finding the Fourth Proportional to 33,771, 50,662.44 and 11,586.72

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Solution

The fourth proportional to 33,771, 50,662.44 and 11,586.72 is: 17,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771 : 50,662.44 = 11,586.72 : x
  2. Step 2: Convert to fraction form
    33,771/50,662.44 = 11,586.72/x
  3. Step 3: Cross multiply
    33,771x = 50,662.44 × 11,586.72
  4. Step 4: Simplify right side
    33,771x = 587,011,506.80
  5. Step 5: Solve for x
    x = 587,011,506.80/33,771
  6. Step 6: Final answer
    x = 17,382.12

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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.