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Finding the Fourth Proportional to 34,772.84, 47,951.78 and 22,193

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Solution

The fourth proportional to 34,772.84, 47,951.78 and 22,193 is: 30,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.84 : 47,951.78 = 22,193 : x
  2. Step 2: Convert to fraction form
    34,772.84/47,951.78 = 22,193/x
  3. Step 3: Cross multiply
    34,772.84x = 47,951.78 × 22,193
  4. Step 4: Simplify right side
    34,772.84x = 1,064,193,853.54
  5. Step 5: Solve for x
    x = 1,064,193,853.54/34,772.84
  6. Step 6: Final answer
    x = 30,604.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.