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Finding the Fourth Proportional to 31,174.38, 46,765.71 and 11,453.22

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Solution

The fourth proportional to 31,174.38, 46,765.71 and 11,453.22 is: 17,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.38 : 46,765.71 = 11,453.22 : x
  2. Step 2: Convert to fraction form
    31,174.38/46,765.71 = 11,453.22/x
  3. Step 3: Cross multiply
    31,174.38x = 46,765.71 × 11,453.22
  4. Step 4: Simplify right side
    31,174.38x = 535,617,965.09
  5. Step 5: Solve for x
    x = 535,617,965.09/31,174.38
  6. Step 6: Final answer
    x = 17,181.35

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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.