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Finding the Fourth Proportional to 39,872.46, 55,023.78 and 21,967.38

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Solution

The fourth proportional to 39,872.46, 55,023.78 and 21,967.38 is: 30,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872.46 : 55,023.78 = 21,967.38 : x
  2. Step 2: Convert to fraction form
    39,872.46/55,023.78 = 21,967.38/x
  3. Step 3: Cross multiply
    39,872.46x = 55,023.78 × 21,967.38
  4. Step 4: Simplify right side
    39,872.46x = 1,208,728,284.30
  5. Step 5: Solve for x
    x = 1,208,728,284.30/39,872.46
  6. Step 6: Final answer
    x = 30,314.87

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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.