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Finding the Fourth Proportional to 33,807.50, 50,712.21 and 9,183.50

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Solution

The fourth proportional to 33,807.50, 50,712.21 and 9,183.50 is: 13,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807.50 : 50,712.21 = 9,183.50 : x
  2. Step 2: Convert to fraction form
    33,807.50/50,712.21 = 9,183.50/x
  3. Step 3: Cross multiply
    33,807.50x = 50,712.21 × 9,183.50
  4. Step 4: Simplify right side
    33,807.50x = 465,715,580.54
  5. Step 5: Solve for x
    x = 465,715,580.54/33,807.50
  6. Step 6: Final answer
    x = 13,775.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.