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Finding the Fourth Proportional to 36,079.84, 49,789.26 and 20,164.42

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Solution

The fourth proportional to 36,079.84, 49,789.26 and 20,164.42 is: 27,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,079.84 : 49,789.26 = 20,164.42 : x
  2. Step 2: Convert to fraction form
    36,079.84/49,789.26 = 20,164.42/x
  3. Step 3: Cross multiply
    36,079.84x = 49,789.26 × 20,164.42
  4. Step 4: Simplify right side
    36,079.84x = 1,003,971,550.13
  5. Step 5: Solve for x
    x = 1,003,971,550.13/36,079.84
  6. Step 6: Final answer
    x = 27,826.39

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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.