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Finding the Fourth Proportional to 33,383.20, 50,100 and 22,828

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Solution

The fourth proportional to 33,383.20, 50,100 and 22,828 is: 34,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,383.20 : 50,100 = 22,828 : x
  2. Step 2: Convert to fraction form
    33,383.20/50,100 = 22,828/x
  3. Step 3: Cross multiply
    33,383.20x = 50,100 × 22,828
  4. Step 4: Simplify right side
    33,383.20x = 1,143,682,800
  5. Step 5: Solve for x
    x = 1,143,682,800/33,383.20
  6. Step 6: Final answer
    x = 34,259.23

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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.