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Finding the Fourth Proportional to 41,796.39, 57,678.84 and 22,933.11

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Solution

The fourth proportional to 41,796.39, 57,678.84 and 22,933.11 is: 31,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796.39 : 57,678.84 = 22,933.11 : x
  2. Step 2: Convert to fraction form
    41,796.39/57,678.84 = 22,933.11/x
  3. Step 3: Cross multiply
    41,796.39x = 57,678.84 × 22,933.11
  4. Step 4: Simplify right side
    41,796.39x = 1,322,755,182.39
  5. Step 5: Solve for x
    x = 1,322,755,182.39/41,796.39
  6. Step 6: Final answer
    x = 31,647.59

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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.