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Finding the Fourth Proportional to 33,647.46, 50,469.21 and 10,272.06

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Solution

The fourth proportional to 33,647.46, 50,469.21 and 10,272.06 is: 15,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.46 : 50,469.21 = 10,272.06 : x
  2. Step 2: Convert to fraction form
    33,647.46/50,469.21 = 10,272.06/x
  3. Step 3: Cross multiply
    33,647.46x = 50,469.21 × 10,272.06
  4. Step 4: Simplify right side
    33,647.46x = 518,422,753.27
  5. Step 5: Solve for x
    x = 518,422,753.27/33,647.46
  6. Step 6: Final answer
    x = 15,407.49

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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.