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Finding the Fourth Proportional to 33,723.78, 50,583.86 and 10,350.22

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Solution

The fourth proportional to 33,723.78, 50,583.86 and 10,350.22 is: 15,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723.78 : 50,583.86 = 10,350.22 : x
  2. Step 2: Convert to fraction form
    33,723.78/50,583.86 = 10,350.22/x
  3. Step 3: Cross multiply
    33,723.78x = 50,583.86 × 10,350.22
  4. Step 4: Simplify right side
    33,723.78x = 523,554,079.45
  5. Step 5: Solve for x
    x = 523,554,079.45/33,723.78
  6. Step 6: Final answer
    x = 15,524.77

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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.