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Finding the Fourth Proportional to 31,285.69, 46,936.24 and 9,099.27

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Solution

The fourth proportional to 31,285.69, 46,936.24 and 9,099.27 is: 13,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.69 : 46,936.24 = 9,099.27 : x
  2. Step 2: Convert to fraction form
    31,285.69/46,936.24 = 9,099.27/x
  3. Step 3: Cross multiply
    31,285.69x = 46,936.24 × 9,099.27
  4. Step 4: Simplify right side
    31,285.69x = 427,085,548.98
  5. Step 5: Solve for x
    x = 427,085,548.98/31,285.69
  6. Step 6: Final answer
    x = 13,651.15

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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.