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Finding the Fourth Proportional to 85,414.68, 117,832.32 and 55,209.60

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Solution

The fourth proportional to 85,414.68, 117,832.32 and 55,209.60 is: 76,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.68 : 117,832.32 = 55,209.60 : x
  2. Step 2: Convert to fraction form
    85,414.68/117,832.32 = 55,209.60/x
  3. Step 3: Cross multiply
    85,414.68x = 117,832.32 × 55,209.60
  4. Step 4: Simplify right side
    85,414.68x = 6,505,475,254.27
  5. Step 5: Solve for x
    x = 6,505,475,254.27/85,414.68
  6. Step 6: Final answer
    x = 76,163.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.