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Finding the Fourth Proportional to 33,508.68, 50,243.88 and 13,771

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Solution

The fourth proportional to 33,508.68, 50,243.88 and 13,771 is: 20,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,508.68 : 50,243.88 = 13,771 : x
  2. Step 2: Convert to fraction form
    33,508.68/50,243.88 = 13,771/x
  3. Step 3: Cross multiply
    33,508.68x = 50,243.88 × 13,771
  4. Step 4: Simplify right side
    33,508.68x = 691,908,471.48
  5. Step 5: Solve for x
    x = 691,908,471.48/33,508.68
  6. Step 6: Final answer
    x = 20,648.63

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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.