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Finding the Fourth Proportional to 71,427.24, 107,141.91 and 27,042.06

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Solution

The fourth proportional to 71,427.24, 107,141.91 and 27,042.06 is: 40,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427.24 : 107,141.91 = 27,042.06 : x
  2. Step 2: Convert to fraction form
    71,427.24/107,141.91 = 27,042.06/x
  3. Step 3: Cross multiply
    71,427.24x = 107,141.91 × 27,042.06
  4. Step 4: Simplify right side
    71,427.24x = 2,897,337,958.73
  5. Step 5: Solve for x
    x = 2,897,337,958.73/71,427.24
  6. Step 6: Final answer
    x = 40,563.49

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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.