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Finding the Fourth Proportional to 33,550.72, 50,333.34 and 10,178.92

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Solution

The fourth proportional to 33,550.72, 50,333.34 and 10,178.92 is: 15,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,550.72 : 50,333.34 = 10,178.92 : x
  2. Step 2: Convert to fraction form
    33,550.72/50,333.34 = 10,178.92/x
  3. Step 3: Cross multiply
    33,550.72x = 50,333.34 × 10,178.92
  4. Step 4: Simplify right side
    33,550.72x = 512,339,041.19
  5. Step 5: Solve for x
    x = 512,339,041.19/33,550.72
  6. Step 6: Final answer
    x = 15,270.58

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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.