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Finding the Fourth Proportional to 33,862, 50,793.04 and 9,238

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Solution

The fourth proportional to 33,862, 50,793.04 and 9,238 is: 13,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,862 : 50,793.04 = 9,238 : x
  2. Step 2: Convert to fraction form
    33,862/50,793.04 = 9,238/x
  3. Step 3: Cross multiply
    33,862x = 50,793.04 × 9,238
  4. Step 4: Simplify right side
    33,862x = 469,226,103.52
  5. Step 5: Solve for x
    x = 469,226,103.52/33,862
  6. Step 6: Final answer
    x = 13,857.01

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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.