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Finding the Fourth Proportional to 38,104.82, 57,162.09 and 11,811.14

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Solution

The fourth proportional to 38,104.82, 57,162.09 and 11,811.14 is: 17,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.82 : 57,162.09 = 11,811.14 : x
  2. Step 2: Convert to fraction form
    38,104.82/57,162.09 = 11,811.14/x
  3. Step 3: Cross multiply
    38,104.82x = 57,162.09 × 11,811.14
  4. Step 4: Simplify right side
    38,104.82x = 675,149,447.68
  5. Step 5: Solve for x
    x = 675,149,447.68/38,104.82
  6. Step 6: Final answer
    x = 17,718.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.