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Finding the Fourth Proportional to 41,796.62, 57,679.32 and 23,892

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Solution

The fourth proportional to 41,796.62, 57,679.32 and 23,892 is: 32,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796.62 : 57,679.32 = 23,892 : x
  2. Step 2: Convert to fraction form
    41,796.62/57,679.32 = 23,892/x
  3. Step 3: Cross multiply
    41,796.62x = 57,679.32 × 23,892
  4. Step 4: Simplify right side
    41,796.62x = 1,378,074,313.44
  5. Step 5: Solve for x
    x = 1,378,074,313.44/41,796.62
  6. Step 6: Final answer
    x = 32,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.