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Finding the Fourth Proportional to 31,107.14, 46,651.14 and 8,914.57

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Solution

The fourth proportional to 31,107.14, 46,651.14 and 8,914.57 is: 13,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.14 : 46,651.14 = 8,914.57 : x
  2. Step 2: Convert to fraction form
    31,107.14/46,651.14 = 8,914.57/x
  3. Step 3: Cross multiply
    31,107.14x = 46,651.14 × 8,914.57
  4. Step 4: Simplify right side
    31,107.14x = 415,874,853.11
  5. Step 5: Solve for x
    x = 415,874,853.11/31,107.14
  6. Step 6: Final answer
    x = 13,369.11

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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.