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Finding the Fourth Proportional to 31,169.88, 46,728.09 and 11,438.28

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Solution

The fourth proportional to 31,169.88, 46,728.09 and 11,438.28 is: 17,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.88 : 46,728.09 = 11,438.28 : x
  2. Step 2: Convert to fraction form
    31,169.88/46,728.09 = 11,438.28/x
  3. Step 3: Cross multiply
    31,169.88x = 46,728.09 × 11,438.28
  4. Step 4: Simplify right side
    31,169.88x = 534,488,977.29
  5. Step 5: Solve for x
    x = 534,488,977.29/31,169.88
  6. Step 6: Final answer
    x = 17,147.61

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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.