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Finding the Fourth Proportional to 37,205.70, 55,793.70 and 12,238.80

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Solution

The fourth proportional to 37,205.70, 55,793.70 and 12,238.80 is: 18,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.70 : 55,793.70 = 12,238.80 : x
  2. Step 2: Convert to fraction form
    37,205.70/55,793.70 = 12,238.80/x
  3. Step 3: Cross multiply
    37,205.70x = 55,793.70 × 12,238.80
  4. Step 4: Simplify right side
    37,205.70x = 682,847,935.56
  5. Step 5: Solve for x
    x = 682,847,935.56/37,205.70
  6. Step 6: Final answer
    x = 18,353.32

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1.5x scale

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.