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Finding the Fourth Proportional to 41,821.44, 57,713.64 and 22,958.64

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Solution

The fourth proportional to 41,821.44, 57,713.64 and 22,958.64 is: 31,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,821.44 : 57,713.64 = 22,958.64 : x
  2. Step 2: Convert to fraction form
    41,821.44/57,713.64 = 22,958.64/x
  3. Step 3: Cross multiply
    41,821.44x = 57,713.64 × 22,958.64
  4. Step 4: Simplify right side
    41,821.44x = 1,325,026,683.85
  5. Step 5: Solve for x
    x = 1,325,026,683.85/41,821.44
  6. Step 6: Final answer
    x = 31,682.95

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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.