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Finding the Fourth Proportional to 31,171.37, 46,757.16 and 7,797.81

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Solution

The fourth proportional to 31,171.37, 46,757.16 and 7,797.81 is: 11,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.37 : 46,757.16 = 7,797.81 : x
  2. Step 2: Convert to fraction form
    31,171.37/46,757.16 = 7,797.81/x
  3. Step 3: Cross multiply
    31,171.37x = 46,757.16 × 7,797.81
  4. Step 4: Simplify right side
    31,171.37x = 364,603,449.82
  5. Step 5: Solve for x
    x = 364,603,449.82/31,171.37
  6. Step 6: Final answer
    x = 11,696.74

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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.