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Finding the Fourth Proportional to 33,509.68, 50,245.38 and 13,772

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Solution

The fourth proportional to 33,509.68, 50,245.38 and 13,772 is: 20,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.68 : 50,245.38 = 13,772 : x
  2. Step 2: Convert to fraction form
    33,509.68/50,245.38 = 13,772/x
  3. Step 3: Cross multiply
    33,509.68x = 50,245.38 × 13,772
  4. Step 4: Simplify right side
    33,509.68x = 691,979,373.36
  5. Step 5: Solve for x
    x = 691,979,373.36/33,509.68
  6. Step 6: Final answer
    x = 20,650.13

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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.