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Finding the Fourth Proportional to 33,083.80, 49,627.26 and 9,708.28

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Solution

The fourth proportional to 33,083.80, 49,627.26 and 9,708.28 is: 14,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.80 : 49,627.26 = 9,708.28 : x
  2. Step 2: Convert to fraction form
    33,083.80/49,627.26 = 9,708.28/x
  3. Step 3: Cross multiply
    33,083.80x = 49,627.26 × 9,708.28
  4. Step 4: Simplify right side
    33,083.80x = 481,795,335.71
  5. Step 5: Solve for x
    x = 481,795,335.71/33,083.80
  6. Step 6: Final answer
    x = 14,562.88

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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.