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Finding the Fourth Proportional to 33,261.84, 49,912.70 and 13,267.80

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Solution

The fourth proportional to 33,261.84, 49,912.70 and 13,267.80 is: 19,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.84 : 49,912.70 = 13,267.80 : x
  2. Step 2: Convert to fraction form
    33,261.84/49,912.70 = 13,267.80/x
  3. Step 3: Cross multiply
    33,261.84x = 49,912.70 × 13,267.80
  4. Step 4: Simplify right side
    33,261.84x = 662,231,654.72
  5. Step 5: Solve for x
    x = 662,231,654.72/33,261.84
  6. Step 6: Final answer
    x = 19,909.65

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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.