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Finding the Fourth Proportional to 33,742.81, 46,571.09 and 20,131.71

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Solution

The fourth proportional to 33,742.81, 46,571.09 and 20,131.71 is: 27,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.81 : 46,571.09 = 20,131.71 : x
  2. Step 2: Convert to fraction form
    33,742.81/46,571.09 = 20,131.71/x
  3. Step 3: Cross multiply
    33,742.81x = 46,571.09 × 20,131.71
  4. Step 4: Simplify right side
    33,742.81x = 937,555,402.96
  5. Step 5: Solve for x
    x = 937,555,402.96/33,742.81
  6. Step 6: Final answer
    x = 27,785.34

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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.