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Finding the Fourth Proportional to 36,998, 51,057.24 and 20,231

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Solution

The fourth proportional to 36,998, 51,057.24 and 20,231 is: 27,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,998 : 51,057.24 = 20,231 : x
  2. Step 2: Convert to fraction form
    36,998/51,057.24 = 20,231/x
  3. Step 3: Cross multiply
    36,998x = 51,057.24 × 20,231
  4. Step 4: Simplify right side
    36,998x = 1,032,939,022.44
  5. Step 5: Solve for x
    x = 1,032,939,022.44/36,998
  6. Step 6: Final answer
    x = 27,918.78

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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.