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Finding the Fourth Proportional to 33,261.94, 49,892.82 and 13,535.83

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Solution

The fourth proportional to 33,261.94, 49,892.82 and 13,535.83 is: 20,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.94 : 49,892.82 = 13,535.83 : x
  2. Step 2: Convert to fraction form
    33,261.94/49,892.82 = 13,535.83/x
  3. Step 3: Cross multiply
    33,261.94x = 49,892.82 × 13,535.83
  4. Step 4: Simplify right side
    33,261.94x = 675,340,729.74
  5. Step 5: Solve for x
    x = 675,340,729.74/33,261.94
  6. Step 6: Final answer
    x = 20,303.71

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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.