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Finding the Fourth Proportional to 31,234.26, 46,858.92 and 9,049.17

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Solution

The fourth proportional to 31,234.26, 46,858.92 and 9,049.17 is: 13,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.26 : 46,858.92 = 9,049.17 : x
  2. Step 2: Convert to fraction form
    31,234.26/46,858.92 = 9,049.17/x
  3. Step 3: Cross multiply
    31,234.26x = 46,858.92 × 9,049.17
  4. Step 4: Simplify right side
    31,234.26x = 424,034,333.10
  5. Step 5: Solve for x
    x = 424,034,333.10/31,234.26
  6. Step 6: Final answer
    x = 13,575.94

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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.