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Finding the Fourth Proportional to 33,542.67, 46,278.78 and 20,109.02

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Solution

The fourth proportional to 33,542.67, 46,278.78 and 20,109.02 is: 27,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.67 : 46,278.78 = 20,109.02 : x
  2. Step 2: Convert to fraction form
    33,542.67/46,278.78 = 20,109.02/x
  3. Step 3: Cross multiply
    33,542.67x = 46,278.78 × 20,109.02
  4. Step 4: Simplify right side
    33,542.67x = 930,620,912.60
  5. Step 5: Solve for x
    x = 930,620,912.60/33,542.67
  6. Step 6: Final answer
    x = 27,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.