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Finding the Fourth Proportional to 33,163.54, 49,751.46 and 10,977.10

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Solution

The fourth proportional to 33,163.54, 49,751.46 and 10,977.10 is: 16,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.54 : 49,751.46 = 10,977.10 : x
  2. Step 2: Convert to fraction form
    33,163.54/49,751.46 = 10,977.10/x
  3. Step 3: Cross multiply
    33,163.54x = 49,751.46 × 10,977.10
  4. Step 4: Simplify right side
    33,163.54x = 546,126,751.57
  5. Step 5: Solve for x
    x = 546,126,751.57/33,163.54
  6. Step 6: Final answer
    x = 16,467.69

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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.