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Finding the Fourth Proportional to 42,858.38, 64,262.94 and 22,843.22

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Solution

The fourth proportional to 42,858.38, 64,262.94 and 22,843.22 is: 34,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858.38 : 64,262.94 = 22,843.22 : x
  2. Step 2: Convert to fraction form
    42,858.38/64,262.94 = 22,843.22/x
  3. Step 3: Cross multiply
    42,858.38x = 64,262.94 × 22,843.22
  4. Step 4: Simplify right side
    42,858.38x = 1,467,972,476.27
  5. Step 5: Solve for x
    x = 1,467,972,476.27/42,858.38
  6. Step 6: Final answer
    x = 34,251.70

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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.