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Finding the Fourth Proportional to 33,818, 50,727.06 and 9,194

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Solution

The fourth proportional to 33,818, 50,727.06 and 9,194 is: 13,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,818 : 50,727.06 = 9,194 : x
  2. Step 2: Convert to fraction form
    33,818/50,727.06 = 9,194/x
  3. Step 3: Cross multiply
    33,818x = 50,727.06 × 9,194
  4. Step 4: Simplify right side
    33,818x = 466,384,589.64
  5. Step 5: Solve for x
    x = 466,384,589.64/33,818
  6. Step 6: Final answer
    x = 13,791.02

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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.