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Finding the Fourth Proportional to 33,728.66, 50,584.16 and 10,029.83

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Solution

The fourth proportional to 33,728.66, 50,584.16 and 10,029.83 is: 15,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.66 : 50,584.16 = 10,029.83 : x
  2. Step 2: Convert to fraction form
    33,728.66/50,584.16 = 10,029.83/x
  3. Step 3: Cross multiply
    33,728.66x = 50,584.16 × 10,029.83
  4. Step 4: Simplify right side
    33,728.66x = 507,350,297.65
  5. Step 5: Solve for x
    x = 507,350,297.65/33,728.66
  6. Step 6: Final answer
    x = 15,042.11

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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.