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Finding the Fourth Proportional to 30,751.97, 46,134.96 and 9,691.90

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Solution

The fourth proportional to 30,751.97, 46,134.96 and 9,691.90 is: 14,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.97 : 46,134.96 = 9,691.90 : x
  2. Step 2: Convert to fraction form
    30,751.97/46,134.96 = 9,691.90/x
  3. Step 3: Cross multiply
    30,751.97x = 46,134.96 × 9,691.90
  4. Step 4: Simplify right side
    30,751.97x = 447,135,418.82
  5. Step 5: Solve for x
    x = 447,135,418.82/30,751.97
  6. Step 6: Final answer
    x = 14,540.06

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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.