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Finding the Fourth Proportional to 27,672.80, 38,142.94 and 19,609.16

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Solution

The fourth proportional to 27,672.80, 38,142.94 and 19,609.16 is: 27,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.80 : 38,142.94 = 19,609.16 : x
  2. Step 2: Convert to fraction form
    27,672.80/38,142.94 = 19,609.16/x
  3. Step 3: Cross multiply
    27,672.80x = 38,142.94 × 19,609.16
  4. Step 4: Simplify right side
    27,672.80x = 747,951,013.33
  5. Step 5: Solve for x
    x = 747,951,013.33/27,672.80
  6. Step 6: Final answer
    x = 27,028.38

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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.