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Finding the Fourth Proportional to 27,951.94, 41,929.14 and 9,233.62

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Solution

The fourth proportional to 27,951.94, 41,929.14 and 9,233.62 is: 13,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.94 : 41,929.14 = 9,233.62 : x
  2. Step 2: Convert to fraction form
    27,951.94/41,929.14 = 9,233.62/x
  3. Step 3: Cross multiply
    27,951.94x = 41,929.14 × 9,233.62
  4. Step 4: Simplify right side
    27,951.94x = 387,157,745.69
  5. Step 5: Solve for x
    x = 387,157,745.69/27,951.94
  6. Step 6: Final answer
    x = 13,850.84

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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.