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Finding the Fourth Proportional to 33,216.94, 49,825.59 and 9,843.58

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Solution

The fourth proportional to 33,216.94, 49,825.59 and 9,843.58 is: 14,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.94 : 49,825.59 = 9,843.58 : x
  2. Step 2: Convert to fraction form
    33,216.94/49,825.59 = 9,843.58/x
  3. Step 3: Cross multiply
    33,216.94x = 49,825.59 × 9,843.58
  4. Step 4: Simplify right side
    33,216.94x = 490,462,261.95
  5. Step 5: Solve for x
    x = 490,462,261.95/33,216.94
  6. Step 6: Final answer
    x = 14,765.43

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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.