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Finding the Fourth Proportional to 36,843, 50,843.34 and 20,076

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Solution

The fourth proportional to 36,843, 50,843.34 and 20,076 is: 27,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843 : 50,843.34 = 20,076 : x
  2. Step 2: Convert to fraction form
    36,843/50,843.34 = 20,076/x
  3. Step 3: Cross multiply
    36,843x = 50,843.34 × 20,076
  4. Step 4: Simplify right side
    36,843x = 1,020,730,893.84
  5. Step 5: Solve for x
    x = 1,020,730,893.84/36,843
  6. Step 6: Final answer
    x = 27,704.88

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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.