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Finding the Fourth Proportional to 36,857.83, 50,863.82 and 20,942.30

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Solution

The fourth proportional to 36,857.83, 50,863.82 and 20,942.30 is: 28,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857.83 : 50,863.82 = 20,942.30 : x
  2. Step 2: Convert to fraction form
    36,857.83/50,863.82 = 20,942.30/x
  3. Step 3: Cross multiply
    36,857.83x = 50,863.82 × 20,942.30
  4. Step 4: Simplify right side
    36,857.83x = 1,065,205,377.59
  5. Step 5: Solve for x
    x = 1,065,205,377.59/36,857.83
  6. Step 6: Final answer
    x = 28,900.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.