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Finding the Fourth Proportional to 36,846, 50,847.84 and 20,079.36

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Solution

The fourth proportional to 36,846, 50,847.84 and 20,079.36 is: 27,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846 : 50,847.84 = 20,079.36 : x
  2. Step 2: Convert to fraction form
    36,846/50,847.84 = 20,079.36/x
  3. Step 3: Cross multiply
    36,846x = 50,847.84 × 20,079.36
  4. Step 4: Simplify right side
    36,846x = 1,020,992,084.58
  5. Step 5: Solve for x
    x = 1,020,992,084.58/36,846
  6. Step 6: Final answer
    x = 27,709.71

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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.