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Finding the Fourth Proportional to 80,596.32, 120,894.24 and 21,431.94

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Solution

The fourth proportional to 80,596.32, 120,894.24 and 21,431.94 is: 32,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,596.32 : 120,894.24 = 21,431.94 : x
  2. Step 2: Convert to fraction form
    80,596.32/120,894.24 = 21,431.94/x
  3. Step 3: Cross multiply
    80,596.32x = 120,894.24 × 21,431.94
  4. Step 4: Simplify right side
    80,596.32x = 2,590,998,098.03
  5. Step 5: Solve for x
    x = 2,590,998,098.03/80,596.32
  6. Step 6: Final answer
    x = 32,147.85

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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.