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Finding the Fourth Proportional to 33,233.80, 49,833.60 and 9,857.20

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Solution

The fourth proportional to 33,233.80, 49,833.60 and 9,857.20 is: 14,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233.80 : 49,833.60 = 9,857.20 : x
  2. Step 2: Convert to fraction form
    33,233.80/49,833.60 = 9,857.20/x
  3. Step 3: Cross multiply
    33,233.80x = 49,833.60 × 9,857.20
  4. Step 4: Simplify right side
    33,233.80x = 491,219,761.92
  5. Step 5: Solve for x
    x = 491,219,761.92/33,233.80
  6. Step 6: Final answer
    x = 14,780.73

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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.