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Finding the Fourth Proportional to 31,533.68, 43,524.06 and 18,956

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Solution

The fourth proportional to 31,533.68, 43,524.06 and 18,956 is: 26,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.68 : 43,524.06 = 18,956 : x
  2. Step 2: Convert to fraction form
    31,533.68/43,524.06 = 18,956/x
  3. Step 3: Cross multiply
    31,533.68x = 43,524.06 × 18,956
  4. Step 4: Simplify right side
    31,533.68x = 825,042,081.36
  5. Step 5: Solve for x
    x = 825,042,081.36/31,533.68
  6. Step 6: Final answer
    x = 26,163.84

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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.