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Finding the Fourth Proportional to 33,796.44, 50,701.41 and 10,422

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Solution

The fourth proportional to 33,796.44, 50,701.41 and 10,422 is: 15,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796.44 : 50,701.41 = 10,422 : x
  2. Step 2: Convert to fraction form
    33,796.44/50,701.41 = 10,422/x
  3. Step 3: Cross multiply
    33,796.44x = 50,701.41 × 10,422
  4. Step 4: Simplify right side
    33,796.44x = 528,410,095.02
  5. Step 5: Solve for x
    x = 528,410,095.02/33,796.44
  6. Step 6: Final answer
    x = 15,635.08

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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.