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Finding the Fourth Proportional to 33,580.32, 50,380.22 and 13,855.20

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Solution

The fourth proportional to 33,580.32, 50,380.22 and 13,855.20 is: 20,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580.32 : 50,380.22 = 13,855.20 : x
  2. Step 2: Convert to fraction form
    33,580.32/50,380.22 = 13,855.20/x
  3. Step 3: Cross multiply
    33,580.32x = 50,380.22 × 13,855.20
  4. Step 4: Simplify right side
    33,580.32x = 698,028,024.14
  5. Step 5: Solve for x
    x = 698,028,024.14/33,580.32
  6. Step 6: Final answer
    x = 20,786.82

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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.