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Finding the Fourth Proportional to 80,213.94, 120,361.95 and 32,863.50

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Solution

The fourth proportional to 80,213.94, 120,361.95 and 32,863.50 is: 49,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,213.94 : 120,361.95 = 32,863.50 : x
  2. Step 2: Convert to fraction form
    80,213.94/120,361.95 = 32,863.50/x
  3. Step 3: Cross multiply
    80,213.94x = 120,361.95 × 32,863.50
  4. Step 4: Simplify right side
    80,213.94x = 3,955,514,943.83
  5. Step 5: Solve for x
    x = 3,955,514,943.83/80,213.94
  6. Step 6: Final answer
    x = 49,312.06

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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.