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Finding the Fourth Proportional to 33,163.72, 49,720.72 and 20,013

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Solution

The fourth proportional to 33,163.72, 49,720.72 and 20,013 is: 30,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.72 : 49,720.72 = 20,013 : x
  2. Step 2: Convert to fraction form
    33,163.72/49,720.72 = 20,013/x
  3. Step 3: Cross multiply
    33,163.72x = 49,720.72 × 20,013
  4. Step 4: Simplify right side
    33,163.72x = 995,060,769.36
  5. Step 5: Solve for x
    x = 995,060,769.36/33,163.72
  6. Step 6: Final answer
    x = 30,004.50

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1.5x scale

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.