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Finding the Fourth Proportional to 33,816.20, 50,729.10 and 10,440.20

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Solution

The fourth proportional to 33,816.20, 50,729.10 and 10,440.20 is: 15,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816.20 : 50,729.10 = 10,440.20 : x
  2. Step 2: Convert to fraction form
    33,816.20/50,729.10 = 10,440.20/x
  3. Step 3: Cross multiply
    33,816.20x = 50,729.10 × 10,440.20
  4. Step 4: Simplify right side
    33,816.20x = 529,621,949.82
  5. Step 5: Solve for x
    x = 529,621,949.82/33,816.20
  6. Step 6: Final answer
    x = 15,661.78

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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.