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Finding the Fourth Proportional to 31,163.16, 46,716.94 and 11,437.14

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Solution

The fourth proportional to 31,163.16, 46,716.94 and 11,437.14 is: 17,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.16 : 46,716.94 = 11,437.14 : x
  2. Step 2: Convert to fraction form
    31,163.16/46,716.94 = 11,437.14/x
  3. Step 3: Cross multiply
    31,163.16x = 46,716.94 × 11,437.14
  4. Step 4: Simplify right side
    31,163.16x = 534,308,183.15
  5. Step 5: Solve for x
    x = 534,308,183.15/31,163.16
  6. Step 6: Final answer
    x = 17,145.51

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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.