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Finding the Fourth Proportional to 31,674.93, 43,704.56 and 20,194.21

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Solution

The fourth proportional to 31,674.93, 43,704.56 and 20,194.21 is: 27,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.93 : 43,704.56 = 20,194.21 : x
  2. Step 2: Convert to fraction form
    31,674.93/43,704.56 = 20,194.21/x
  3. Step 3: Cross multiply
    31,674.93x = 43,704.56 × 20,194.21
  4. Step 4: Simplify right side
    31,674.93x = 882,578,852.37
  5. Step 5: Solve for x
    x = 882,578,852.37/31,674.93
  6. Step 6: Final answer
    x = 27,863.64

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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.