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Finding the Fourth Proportional to 31,033.67, 46,557.86 and 8,847.36

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Solution

The fourth proportional to 31,033.67, 46,557.86 and 8,847.36 is: 13,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.67 : 46,557.86 = 8,847.36 : x
  2. Step 2: Convert to fraction form
    31,033.67/46,557.86 = 8,847.36/x
  3. Step 3: Cross multiply
    31,033.67x = 46,557.86 × 8,847.36
  4. Step 4: Simplify right side
    31,033.67x = 411,914,104.01
  5. Step 5: Solve for x
    x = 411,914,104.01/31,033.67
  6. Step 6: Final answer
    x = 13,273.14

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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.