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Finding the Fourth Proportional to 38,872.07, 53,633.94 and 21,873

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Solution

The fourth proportional to 38,872.07, 53,633.94 and 21,873 is: 30,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.07 : 53,633.94 = 21,873 : x
  2. Step 2: Convert to fraction form
    38,872.07/53,633.94 = 21,873/x
  3. Step 3: Cross multiply
    38,872.07x = 53,633.94 × 21,873
  4. Step 4: Simplify right side
    38,872.07x = 1,173,135,169.62
  5. Step 5: Solve for x
    x = 1,173,135,169.62/38,872.07
  6. Step 6: Final answer
    x = 30,179.39

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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.