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Finding the Fourth Proportional to 31,874.07, 47,811.09 and 15,183.52

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Solution

The fourth proportional to 31,874.07, 47,811.09 and 15,183.52 is: 22,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.07 : 47,811.09 = 15,183.52 : x
  2. Step 2: Convert to fraction form
    31,874.07/47,811.09 = 15,183.52/x
  3. Step 3: Cross multiply
    31,874.07x = 47,811.09 × 15,183.52
  4. Step 4: Simplify right side
    31,874.07x = 725,940,578.65
  5. Step 5: Solve for x
    x = 725,940,578.65/31,874.07
  6. Step 6: Final answer
    x = 22,775.27

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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.