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Finding the Fourth Proportional to 30,227.49, 41,711.09 and 27,998.37

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Solution

The fourth proportional to 30,227.49, 41,711.09 and 27,998.37 is: 38,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.49 : 41,711.09 = 27,998.37 : x
  2. Step 2: Convert to fraction form
    30,227.49/41,711.09 = 27,998.37/x
  3. Step 3: Cross multiply
    30,227.49x = 41,711.09 × 27,998.37
  4. Step 4: Simplify right side
    30,227.49x = 1,167,842,390.93
  5. Step 5: Solve for x
    x = 1,167,842,390.93/30,227.49
  6. Step 6: Final answer
    x = 38,635.11

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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.