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Finding the Fourth Proportional to 31,183.40, 46,745.93 and 11,456.66

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Solution

The fourth proportional to 31,183.40, 46,745.93 and 11,456.66 is: 17,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.40 : 46,745.93 = 11,456.66 : x
  2. Step 2: Convert to fraction form
    31,183.40/46,745.93 = 11,456.66/x
  3. Step 3: Cross multiply
    31,183.40x = 46,745.93 × 11,456.66
  4. Step 4: Simplify right side
    31,183.40x = 535,551,935.38
  5. Step 5: Solve for x
    x = 535,551,935.38/31,183.40
  6. Step 6: Final answer
    x = 17,174.27

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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.