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Finding the Fourth Proportional to 27,234.86, 40,847.43 and 7,244.47

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Solution

The fourth proportional to 27,234.86, 40,847.43 and 7,244.47 is: 10,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.86 : 40,847.43 = 7,244.47 : x
  2. Step 2: Convert to fraction form
    27,234.86/40,847.43 = 7,244.47/x
  3. Step 3: Cross multiply
    27,234.86x = 40,847.43 × 7,244.47
  4. Step 4: Simplify right side
    27,234.86x = 295,917,981.21
  5. Step 5: Solve for x
    x = 295,917,981.21/27,234.86
  6. Step 6: Final answer
    x = 10,865.41

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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.