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Finding the Fourth Proportional to 33,647.72, 46,481 and 31,876.28

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Solution

The fourth proportional to 33,647.72, 46,481 and 31,876.28 is: 44,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.72 : 46,481 = 31,876.28 : x
  2. Step 2: Convert to fraction form
    33,647.72/46,481 = 31,876.28/x
  3. Step 3: Cross multiply
    33,647.72x = 46,481 × 31,876.28
  4. Step 4: Simplify right side
    33,647.72x = 1,481,641,370.68
  5. Step 5: Solve for x
    x = 1,481,641,370.68/33,647.72
  6. Step 6: Final answer
    x = 44,033.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.