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Finding the Fourth Proportional to 27,843.84, 41,766.03 and 22,289.94

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Solution

The fourth proportional to 27,843.84, 41,766.03 and 22,289.94 is: 33,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.84 : 41,766.03 = 22,289.94 : x
  2. Step 2: Convert to fraction form
    27,843.84/41,766.03 = 22,289.94/x
  3. Step 3: Cross multiply
    27,843.84x = 41,766.03 × 22,289.94
  4. Step 4: Simplify right side
    27,843.84x = 930,962,302.74
  5. Step 5: Solve for x
    x = 930,962,302.74/27,843.84
  6. Step 6: Final answer
    x = 33,435.13

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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.