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Finding the Fourth Proportional to 36,624.98, 54,919.30 and 11,661.78

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Solution

The fourth proportional to 36,624.98, 54,919.30 and 11,661.78 is: 17,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624.98 : 54,919.30 = 11,661.78 : x
  2. Step 2: Convert to fraction form
    36,624.98/54,919.30 = 11,661.78/x
  3. Step 3: Cross multiply
    36,624.98x = 54,919.30 × 11,661.78
  4. Step 4: Simplify right side
    36,624.98x = 640,456,736.05
  5. Step 5: Solve for x
    x = 640,456,736.05/36,624.98
  6. Step 6: Final answer
    x = 17,486.88

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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.