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Finding the Fourth Proportional to 57,858.71, 86,791.91 and 22,822.97

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Solution

The fourth proportional to 57,858.71, 86,791.91 and 22,822.97 is: 34,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.71 : 86,791.91 = 22,822.97 : x
  2. Step 2: Convert to fraction form
    57,858.71/86,791.91 = 22,822.97/x
  3. Step 3: Cross multiply
    57,858.71x = 86,791.91 × 22,822.97
  4. Step 4: Simplify right side
    57,858.71x = 1,980,848,610.10
  5. Step 5: Solve for x
    x = 1,980,848,610.10/57,858.71
  6. Step 6: Final answer
    x = 34,235.97

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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.