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Finding the Fourth Proportional to 31,863.08, 47,794.89 and 11,072

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Solution

The fourth proportional to 31,863.08, 47,794.89 and 11,072 is: 16,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.08 : 47,794.89 = 11,072 : x
  2. Step 2: Convert to fraction form
    31,863.08/47,794.89 = 11,072/x
  3. Step 3: Cross multiply
    31,863.08x = 47,794.89 × 11,072
  4. Step 4: Simplify right side
    31,863.08x = 529,185,022.08
  5. Step 5: Solve for x
    x = 529,185,022.08/31,863.08
  6. Step 6: Final answer
    x = 16,608.09

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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.