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Finding the Fourth Proportional to 33,843.80, 50,768.90 and 9,219.80

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Solution

The fourth proportional to 33,843.80, 50,768.90 and 9,219.80 is: 13,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.80 : 50,768.90 = 9,219.80 : x
  2. Step 2: Convert to fraction form
    33,843.80/50,768.90 = 9,219.80/x
  3. Step 3: Cross multiply
    33,843.80x = 50,768.90 × 9,219.80
  4. Step 4: Simplify right side
    33,843.80x = 468,079,104.22
  5. Step 5: Solve for x
    x = 468,079,104.22/33,843.80
  6. Step 6: Final answer
    x = 13,830.57

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1.5x scale

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.