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Finding the Fourth Proportional to 80,215.44, 120,364.20 and 32,865

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Solution

The fourth proportional to 80,215.44, 120,364.20 and 32,865 is: 49,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,215.44 : 120,364.20 = 32,865 : x
  2. Step 2: Convert to fraction form
    80,215.44/120,364.20 = 32,865/x
  3. Step 3: Cross multiply
    80,215.44x = 120,364.20 × 32,865
  4. Step 4: Simplify right side
    80,215.44x = 3,955,769,433
  5. Step 5: Solve for x
    x = 3,955,769,433/80,215.44
  6. Step 6: Final answer
    x = 49,314.31

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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.