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Finding the Fourth Proportional to 31,198.64, 46,796.59 and 8,709.44

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Solution

The fourth proportional to 31,198.64, 46,796.59 and 8,709.44 is: 13,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.64 : 46,796.59 = 8,709.44 : x
  2. Step 2: Convert to fraction form
    31,198.64/46,796.59 = 8,709.44/x
  3. Step 3: Cross multiply
    31,198.64x = 46,796.59 × 8,709.44
  4. Step 4: Simplify right side
    31,198.64x = 407,572,083.95
  5. Step 5: Solve for x
    x = 407,572,083.95/31,198.64
  6. Step 6: Final answer
    x = 13,063.78

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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.