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Finding the Fourth Proportional to 40,642.92, 56,086.12 and 22,738.68

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Solution

The fourth proportional to 40,642.92, 56,086.12 and 22,738.68 is: 31,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642.92 : 56,086.12 = 22,738.68 : x
  2. Step 2: Convert to fraction form
    40,642.92/56,086.12 = 22,738.68/x
  3. Step 3: Cross multiply
    40,642.92x = 56,086.12 × 22,738.68
  4. Step 4: Simplify right side
    40,642.92x = 1,275,324,335.12
  5. Step 5: Solve for x
    x = 1,275,324,335.12/40,642.92
  6. Step 6: Final answer
    x = 31,378.76

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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.