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Finding the Fourth Proportional to 36,789.84, 50,769.72 and 20,022.84

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Solution

The fourth proportional to 36,789.84, 50,769.72 and 20,022.84 is: 27,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,789.84 : 50,769.72 = 20,022.84 : x
  2. Step 2: Convert to fraction form
    36,789.84/50,769.72 = 20,022.84/x
  3. Step 3: Cross multiply
    36,789.84x = 50,769.72 × 20,022.84
  4. Step 4: Simplify right side
    36,789.84x = 1,016,553,980.40
  5. Step 5: Solve for x
    x = 1,016,553,980.40/36,789.84
  6. Step 6: Final answer
    x = 27,631.38

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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.