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Finding the Fourth Proportional to 80,406.91, 120,619.68 and 30,524.28

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Solution

The fourth proportional to 80,406.91, 120,619.68 and 30,524.28 is: 45,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,406.91 : 120,619.68 = 30,524.28 : x
  2. Step 2: Convert to fraction form
    80,406.91/120,619.68 = 30,524.28/x
  3. Step 3: Cross multiply
    80,406.91x = 120,619.68 × 30,524.28
  4. Step 4: Simplify right side
    80,406.91x = 3,681,828,885.83
  5. Step 5: Solve for x
    x = 3,681,828,885.83/80,406.91
  6. Step 6: Final answer
    x = 45,789.96

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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.