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Finding the Fourth Proportional to 57,120.67, 85,712.01 and 23,843.64

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Solution

The fourth proportional to 57,120.67, 85,712.01 and 23,843.64 is: 35,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.67 : 85,712.01 = 23,843.64 : x
  2. Step 2: Convert to fraction form
    57,120.67/85,712.01 = 23,843.64/x
  3. Step 3: Cross multiply
    57,120.67x = 85,712.01 × 23,843.64
  4. Step 4: Simplify right side
    57,120.67x = 2,043,686,310.12
  5. Step 5: Solve for x
    x = 2,043,686,310.12/57,120.67
  6. Step 6: Final answer
    x = 35,778.40

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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.