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Finding the Fourth Proportional to 34,144.81, 47,103.09 and 22,817.09

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Solution

The fourth proportional to 34,144.81, 47,103.09 and 22,817.09 is: 31,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.81 : 47,103.09 = 22,817.09 : x
  2. Step 2: Convert to fraction form
    34,144.81/47,103.09 = 22,817.09/x
  3. Step 3: Cross multiply
    34,144.81x = 47,103.09 × 22,817.09
  4. Step 4: Simplify right side
    34,144.81x = 1,074,755,443.81
  5. Step 5: Solve for x
    x = 1,074,755,443.81/34,144.81
  6. Step 6: Final answer
    x = 31,476.39

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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.