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Finding the Fourth Proportional to 33,562.36, 50,343.72 and 10,189

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Solution

The fourth proportional to 33,562.36, 50,343.72 and 10,189 is: 15,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562.36 : 50,343.72 = 10,189 : x
  2. Step 2: Convert to fraction form
    33,562.36/50,343.72 = 10,189/x
  3. Step 3: Cross multiply
    33,562.36x = 50,343.72 × 10,189
  4. Step 4: Simplify right side
    33,562.36x = 512,952,163.08
  5. Step 5: Solve for x
    x = 512,952,163.08/33,562.36
  6. Step 6: Final answer
    x = 15,283.55

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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.