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Finding the Fourth Proportional to 41,794.92, 57,676.74 and 22,932

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Solution

The fourth proportional to 41,794.92, 57,676.74 and 22,932 is: 31,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,794.92 : 57,676.74 = 22,932 : x
  2. Step 2: Convert to fraction form
    41,794.92/57,676.74 = 22,932/x
  3. Step 3: Cross multiply
    41,794.92x = 57,676.74 × 22,932
  4. Step 4: Simplify right side
    41,794.92x = 1,322,643,001.68
  5. Step 5: Solve for x
    x = 1,322,643,001.68/41,794.92
  6. Step 6: Final answer
    x = 31,646.02

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