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Finding the Fourth Proportional to 68,410.44, 102,608.44 and 32,378.27

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Solution

The fourth proportional to 68,410.44, 102,608.44 and 32,378.27 is: 48,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410.44 : 102,608.44 = 32,378.27 : x
  2. Step 2: Convert to fraction form
    68,410.44/102,608.44 = 32,378.27/x
  3. Step 3: Cross multiply
    68,410.44x = 102,608.44 × 32,378.27
  4. Step 4: Simplify right side
    68,410.44x = 3,322,283,180.61
  5. Step 5: Solve for x
    x = 3,322,283,180.61/68,410.44
  6. Step 6: Final answer
    x = 48,563.98

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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.