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Finding the Fourth Proportional to 37,193.85, 55,799.21 and 12,234.14

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Solution

The fourth proportional to 37,193.85, 55,799.21 and 12,234.14 is: 18,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,193.85 : 55,799.21 = 12,234.14 : x
  2. Step 2: Convert to fraction form
    37,193.85/55,799.21 = 12,234.14/x
  3. Step 3: Cross multiply
    37,193.85x = 55,799.21 × 12,234.14
  4. Step 4: Simplify right side
    37,193.85x = 682,655,307.87
  5. Step 5: Solve for x
    x = 682,655,307.87/37,193.85
  6. Step 6: Final answer
    x = 18,353.98

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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.