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Finding the Fourth Proportional to 33,814.80, 50,722.20 and 9,190.80

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Solution

The fourth proportional to 33,814.80, 50,722.20 and 9,190.80 is: 13,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.80 : 50,722.20 = 9,190.80 : x
  2. Step 2: Convert to fraction form
    33,814.80/50,722.20 = 9,190.80/x
  3. Step 3: Cross multiply
    33,814.80x = 50,722.20 × 9,190.80
  4. Step 4: Simplify right side
    33,814.80x = 466,177,595.76
  5. Step 5: Solve for x
    x = 466,177,595.76/33,814.80
  6. Step 6: Final answer
    x = 13,786.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.