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Finding the Fourth Proportional to 33,794.26, 50,694.02 and 10,100

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Solution

The fourth proportional to 33,794.26, 50,694.02 and 10,100 is: 15,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794.26 : 50,694.02 = 10,100 : x
  2. Step 2: Convert to fraction form
    33,794.26/50,694.02 = 10,100/x
  3. Step 3: Cross multiply
    33,794.26x = 50,694.02 × 10,100
  4. Step 4: Simplify right side
    33,794.26x = 512,009,602.00
  5. Step 5: Solve for x
    x = 512,009,602.00/33,794.26
  6. Step 6: Final answer
    x = 15,150.79

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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.