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Finding the Fourth Proportional to 80,173.73, 120,226.74 and 24,021.81

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Solution

The fourth proportional to 80,173.73, 120,226.74 and 24,021.81 is: 36,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,173.73 : 120,226.74 = 24,021.81 : x
  2. Step 2: Convert to fraction form
    80,173.73/120,226.74 = 24,021.81/x
  3. Step 3: Cross multiply
    80,173.73x = 120,226.74 × 24,021.81
  4. Step 4: Simplify right side
    80,173.73x = 2,888,063,905.20
  5. Step 5: Solve for x
    x = 2,888,063,905.20/80,173.73
  6. Step 6: Final answer
    x = 36,022.57

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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.