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Finding the Fourth Proportional to 100,366.64, 150,550.25 and 33,853.49

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Solution

The fourth proportional to 100,366.64, 150,550.25 and 33,853.49 is: 50,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.64 : 150,550.25 = 33,853.49 : x
  2. Step 2: Convert to fraction form
    100,366.64/150,550.25 = 33,853.49/x
  3. Step 3: Cross multiply
    100,366.64x = 150,550.25 × 33,853.49
  4. Step 4: Simplify right side
    100,366.64x = 5,096,651,589.98
  5. Step 5: Solve for x
    x = 5,096,651,589.98/100,366.64
  6. Step 6: Final answer
    x = 50,780.33

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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.