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Finding the Fourth Proportional to 57,142.51, 85,657.26 and 27,104.06

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Solution

The fourth proportional to 57,142.51, 85,657.26 and 27,104.06 is: 40,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.51 : 85,657.26 = 27,104.06 : x
  2. Step 2: Convert to fraction form
    57,142.51/85,657.26 = 27,104.06/x
  3. Step 3: Cross multiply
    57,142.51x = 85,657.26 × 27,104.06
  4. Step 4: Simplify right side
    57,142.51x = 2,321,659,728.62
  5. Step 5: Solve for x
    x = 2,321,659,728.62/57,142.51
  6. Step 6: Final answer
    x = 40,629.29

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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.