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Finding the Fourth Proportional to 31,633.56, 47,458.60 and 9,446.94

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Solution

The fourth proportional to 31,633.56, 47,458.60 and 9,446.94 is: 14,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.56 : 47,458.60 = 9,446.94 : x
  2. Step 2: Convert to fraction form
    31,633.56/47,458.60 = 9,446.94/x
  3. Step 3: Cross multiply
    31,633.56x = 47,458.60 × 9,446.94
  4. Step 4: Simplify right side
    31,633.56x = 448,338,546.68
  5. Step 5: Solve for x
    x = 448,338,546.68/31,633.56
  6. Step 6: Final answer
    x = 14,172.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.