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Finding the Fourth Proportional to 27,834.84, 41,752.26 and 22,889.49

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Solution

The fourth proportional to 27,834.84, 41,752.26 and 22,889.49 is: 34,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.84 : 41,752.26 = 22,889.49 : x
  2. Step 2: Convert to fraction form
    27,834.84/41,752.26 = 22,889.49/x
  3. Step 3: Cross multiply
    27,834.84x = 41,752.26 × 22,889.49
  4. Step 4: Simplify right side
    27,834.84x = 955,687,781.18
  5. Step 5: Solve for x
    x = 955,687,781.18/27,834.84
  6. Step 6: Final answer
    x = 34,334.23

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