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Finding the Fourth Proportional to 27,817.36, 38,375.09 and 24,633.90

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Solution

The fourth proportional to 27,817.36, 38,375.09 and 24,633.90 is: 33,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.36 : 38,375.09 = 24,633.90 : x
  2. Step 2: Convert to fraction form
    27,817.36/38,375.09 = 24,633.90/x
  3. Step 3: Cross multiply
    27,817.36x = 38,375.09 × 24,633.90
  4. Step 4: Simplify right side
    27,817.36x = 945,328,129.55
  5. Step 5: Solve for x
    x = 945,328,129.55/27,817.36
  6. Step 6: Final answer
    x = 33,983.39

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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.