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Finding the Fourth Proportional to 27,446.48, 41,167.80 and 15,722.96

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Solution

The fourth proportional to 27,446.48, 41,167.80 and 15,722.96 is: 23,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.48 : 41,167.80 = 15,722.96 : x
  2. Step 2: Convert to fraction form
    27,446.48/41,167.80 = 15,722.96/x
  3. Step 3: Cross multiply
    27,446.48x = 41,167.80 × 15,722.96
  4. Step 4: Simplify right side
    27,446.48x = 647,279,672.69
  5. Step 5: Solve for x
    x = 647,279,672.69/27,446.48
  6. Step 6: Final answer
    x = 23,583.34

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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.