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Finding the Fourth Proportional to 31,797.89, 47,696.80 and 12,076.41

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Solution

The fourth proportional to 31,797.89, 47,696.80 and 12,076.41 is: 18,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.89 : 47,696.80 = 12,076.41 : x
  2. Step 2: Convert to fraction form
    31,797.89/47,696.80 = 12,076.41/x
  3. Step 3: Cross multiply
    31,797.89x = 47,696.80 × 12,076.41
  4. Step 4: Simplify right side
    31,797.89x = 576,006,201.54
  5. Step 5: Solve for x
    x = 576,006,201.54/31,797.89
  6. Step 6: Final answer
    x = 18,114.61

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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.