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Finding the Fourth Proportional to 33,796, 50,694.09 and 9,172

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Solution

The fourth proportional to 33,796, 50,694.09 and 9,172 is: 13,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796 : 50,694.09 = 9,172 : x
  2. Step 2: Convert to fraction form
    33,796/50,694.09 = 9,172/x
  3. Step 3: Cross multiply
    33,796x = 50,694.09 × 9,172
  4. Step 4: Simplify right side
    33,796x = 464,966,193.48
  5. Step 5: Solve for x
    x = 464,966,193.48/33,796
  6. Step 6: Final answer
    x = 13,758.02

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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.