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Finding the Fourth Proportional to 37,222.70, 55,819.20 and 12,255.80

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Solution

The fourth proportional to 37,222.70, 55,819.20 and 12,255.80 is: 18,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,222.70 : 55,819.20 = 12,255.80 : x
  2. Step 2: Convert to fraction form
    37,222.70/55,819.20 = 12,255.80/x
  3. Step 3: Cross multiply
    37,222.70x = 55,819.20 × 12,255.80
  4. Step 4: Simplify right side
    37,222.70x = 684,108,951.36
  5. Step 5: Solve for x
    x = 684,108,951.36/37,222.70
  6. Step 6: Final answer
    x = 18,378.81

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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.