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Finding the Fourth Proportional to 78,157.02, 117,268.32 and 33,760.92

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Solution

The fourth proportional to 78,157.02, 117,268.32 and 33,760.92 is: 50,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.02 : 117,268.32 = 33,760.92 : x
  2. Step 2: Convert to fraction form
    78,157.02/117,268.32 = 33,760.92/x
  3. Step 3: Cross multiply
    78,157.02x = 117,268.32 × 33,760.92
  4. Step 4: Simplify right side
    78,157.02x = 3,959,086,370.05
  5. Step 5: Solve for x
    x = 3,959,086,370.05/78,157.02
  6. Step 6: Final answer
    x = 50,655.54

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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.