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Finding the Fourth Proportional to 80,446.72, 120,671.16 and 30,513.20

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Solution

The fourth proportional to 80,446.72, 120,671.16 and 30,513.20 is: 45,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,446.72 : 120,671.16 = 30,513.20 : x
  2. Step 2: Convert to fraction form
    80,446.72/120,671.16 = 30,513.20/x
  3. Step 3: Cross multiply
    80,446.72x = 120,671.16 × 30,513.20
  4. Step 4: Simplify right side
    80,446.72x = 3,682,063,239.31
  5. Step 5: Solve for x
    x = 3,682,063,239.31/80,446.72
  6. Step 6: Final answer
    x = 45,770.21

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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.