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Finding the Fourth Proportional to 57,841.92, 86,687.04 and 32,893.44

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Solution

The fourth proportional to 57,841.92, 86,687.04 and 32,893.44 is: 49,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841.92 : 86,687.04 = 32,893.44 : x
  2. Step 2: Convert to fraction form
    57,841.92/86,687.04 = 32,893.44/x
  3. Step 3: Cross multiply
    57,841.92x = 86,687.04 × 32,893.44
  4. Step 4: Simplify right side
    57,841.92x = 2,851,434,949.02
  5. Step 5: Solve for x
    x = 2,851,434,949.02/57,841.92
  6. Step 6: Final answer
    x = 49,297.03

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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.