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Finding the Fourth Proportional to 27,324.36, 40,992.70 and 8,350.70

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Solution

The fourth proportional to 27,324.36, 40,992.70 and 8,350.70 is: 12,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.36 : 40,992.70 = 8,350.70 : x
  2. Step 2: Convert to fraction form
    27,324.36/40,992.70 = 8,350.70/x
  3. Step 3: Cross multiply
    27,324.36x = 40,992.70 × 8,350.70
  4. Step 4: Simplify right side
    27,324.36x = 342,317,739.89
  5. Step 5: Solve for x
    x = 342,317,739.89/27,324.36
  6. Step 6: Final answer
    x = 12,527.93

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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.