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Finding the Fourth Proportional to 80,434, 120,634.28 and 30,496.88

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Solution

The fourth proportional to 80,434, 120,634.28 and 30,496.88 is: 45,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434 : 120,634.28 = 30,496.88 : x
  2. Step 2: Convert to fraction form
    80,434/120,634.28 = 30,496.88/x
  3. Step 3: Cross multiply
    80,434x = 120,634.28 × 30,496.88
  4. Step 4: Simplify right side
    80,434x = 3,678,969,161.05
  5. Step 5: Solve for x
    x = 3,678,969,161.05/80,434
  6. Step 6: Final answer
    x = 45,738.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.