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Finding the Fourth Proportional to 33,786.40, 50,674.80 and 11,600.80

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Solution

The fourth proportional to 33,786.40, 50,674.80 and 11,600.80 is: 17,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,786.40 : 50,674.80 = 11,600.80 : x
  2. Step 2: Convert to fraction form
    33,786.40/50,674.80 = 11,600.80/x
  3. Step 3: Cross multiply
    33,786.40x = 50,674.80 × 11,600.80
  4. Step 4: Simplify right side
    33,786.40x = 587,868,219.84
  5. Step 5: Solve for x
    x = 587,868,219.84/33,786.40
  6. Step 6: Final answer
    x = 17,399.55

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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.