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Finding the Fourth Proportional to 27,419.84, 41,086.66 and 21,195.09

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Solution

The fourth proportional to 27,419.84, 41,086.66 and 21,195.09 is: 31,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.84 : 41,086.66 = 21,195.09 : x
  2. Step 2: Convert to fraction form
    27,419.84/41,086.66 = 21,195.09/x
  3. Step 3: Cross multiply
    27,419.84x = 41,086.66 × 21,195.09
  4. Step 4: Simplify right side
    27,419.84x = 870,835,456.50
  5. Step 5: Solve for x
    x = 870,835,456.50/27,419.84
  6. Step 6: Final answer
    x = 31,759.32

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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.