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Finding the Fourth Proportional to 57,891.54, 86,791.96 and 22,857.42

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Solution

The fourth proportional to 57,891.54, 86,791.96 and 22,857.42 is: 34,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,891.54 : 86,791.96 = 22,857.42 : x
  2. Step 2: Convert to fraction form
    57,891.54/86,791.96 = 22,857.42/x
  3. Step 3: Cross multiply
    57,891.54x = 86,791.96 × 22,857.42
  4. Step 4: Simplify right side
    57,891.54x = 1,983,840,507.81
  5. Step 5: Solve for x
    x = 1,983,840,507.81/57,891.54
  6. Step 6: Final answer
    x = 34,268.23

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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.