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Finding the Fourth Proportional to 31,270.52, 46,906.09 and 7,896.96

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Solution

The fourth proportional to 31,270.52, 46,906.09 and 7,896.96 is: 11,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,270.52 : 46,906.09 = 7,896.96 : x
  2. Step 2: Convert to fraction form
    31,270.52/46,906.09 = 7,896.96/x
  3. Step 3: Cross multiply
    31,270.52x = 46,906.09 × 7,896.96
  4. Step 4: Simplify right side
    31,270.52x = 370,415,496.74
  5. Step 5: Solve for x
    x = 370,415,496.74/31,270.52
  6. Step 6: Final answer
    x = 11,845.52

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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.