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Finding the Fourth Proportional to 52,067.25, 78,101.10 and 12,624.44

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Solution

The fourth proportional to 52,067.25, 78,101.10 and 12,624.44 is: 18,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,067.25 : 78,101.10 = 12,624.44 : x
  2. Step 2: Convert to fraction form
    52,067.25/78,101.10 = 12,624.44/x
  3. Step 3: Cross multiply
    52,067.25x = 78,101.10 × 12,624.44
  4. Step 4: Simplify right side
    52,067.25x = 985,982,260.38
  5. Step 5: Solve for x
    x = 985,982,260.38/52,067.25
  6. Step 6: Final answer
    x = 18,936.71

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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.