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Finding the Fourth Proportional to 100,233.80, 150,345.38 and 33,674.44

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Solution

The fourth proportional to 100,233.80, 150,345.38 and 33,674.44 is: 50,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,233.80 : 150,345.38 = 33,674.44 : x
  2. Step 2: Convert to fraction form
    100,233.80/150,345.38 = 33,674.44/x
  3. Step 3: Cross multiply
    100,233.80x = 150,345.38 × 33,674.44
  4. Step 4: Simplify right side
    100,233.80x = 5,062,796,478.09
  5. Step 5: Solve for x
    x = 5,062,796,478.09/100,233.80
  6. Step 6: Final answer
    x = 50,509.87

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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.