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Finding the Fourth Proportional to 33,797, 50,661.48 and 14,086.46

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Solution

The fourth proportional to 33,797, 50,661.48 and 14,086.46 is: 21,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797 : 50,661.48 = 14,086.46 : x
  2. Step 2: Convert to fraction form
    33,797/50,661.48 = 14,086.46/x
  3. Step 3: Cross multiply
    33,797x = 50,661.48 × 14,086.46
  4. Step 4: Simplify right side
    33,797x = 713,640,911.56
  5. Step 5: Solve for x
    x = 713,640,911.56/33,797
  6. Step 6: Final answer
    x = 21,115.51

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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.