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Finding the Fourth Proportional to 41,782.14, 57,659.04 and 22,919.13

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Solution

The fourth proportional to 41,782.14, 57,659.04 and 22,919.13 is: 31,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.14 : 57,659.04 = 22,919.13 : x
  2. Step 2: Convert to fraction form
    41,782.14/57,659.04 = 22,919.13/x
  3. Step 3: Cross multiply
    41,782.14x = 57,659.04 × 22,919.13
  4. Step 4: Simplify right side
    41,782.14x = 1,321,495,033.44
  5. Step 5: Solve for x
    x = 1,321,495,033.44/41,782.14
  6. Step 6: Final answer
    x = 31,628.23

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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.