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Finding the Fourth Proportional to 27,737.91, 41,605.25 and 8,016.03

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Solution

The fourth proportional to 27,737.91, 41,605.25 and 8,016.03 is: 12,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.91 : 41,605.25 = 8,016.03 : x
  2. Step 2: Convert to fraction form
    27,737.91/41,605.25 = 8,016.03/x
  3. Step 3: Cross multiply
    27,737.91x = 41,605.25 × 8,016.03
  4. Step 4: Simplify right side
    27,737.91x = 333,508,892.08
  5. Step 5: Solve for x
    x = 333,508,892.08/27,737.91
  6. Step 6: Final answer
    x = 12,023.58

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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.