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Finding the Fourth Proportional to 27,706.23, 41,523.12 and 24,187.28

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Solution

The fourth proportional to 27,706.23, 41,523.12 and 24,187.28 is: 36,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.23 : 41,523.12 = 24,187.28 : x
  2. Step 2: Convert to fraction form
    27,706.23/41,523.12 = 24,187.28/x
  3. Step 3: Cross multiply
    27,706.23x = 41,523.12 × 24,187.28
  4. Step 4: Simplify right side
    27,706.23x = 1,004,331,122.30
  5. Step 5: Solve for x
    x = 1,004,331,122.30/27,706.23
  6. Step 6: Final answer
    x = 36,249.29

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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.