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Finding the Fourth Proportional to 33,147.20, 49,720.80 and 19,992.80

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Solution

The fourth proportional to 33,147.20, 49,720.80 and 19,992.80 is: 29,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.20 : 49,720.80 = 19,992.80 : x
  2. Step 2: Convert to fraction form
    33,147.20/49,720.80 = 19,992.80/x
  3. Step 3: Cross multiply
    33,147.20x = 49,720.80 × 19,992.80
  4. Step 4: Simplify right side
    33,147.20x = 994,058,010.24
  5. Step 5: Solve for x
    x = 994,058,010.24/33,147.20
  6. Step 6: Final answer
    x = 29,989.20

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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.