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Finding the Fourth Proportional to 33,589.80, 50,384.70 and 10,216.20

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Solution

The fourth proportional to 33,589.80, 50,384.70 and 10,216.20 is: 15,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.80 : 50,384.70 = 10,216.20 : x
  2. Step 2: Convert to fraction form
    33,589.80/50,384.70 = 10,216.20/x
  3. Step 3: Cross multiply
    33,589.80x = 50,384.70 × 10,216.20
  4. Step 4: Simplify right side
    33,589.80x = 514,740,172.14
  5. Step 5: Solve for x
    x = 514,740,172.14/33,589.80
  6. Step 6: Final answer
    x = 15,324.30

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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.