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Finding the Fourth Proportional to 33,052.84, 49,598.96 and 11,994.53

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Solution

The fourth proportional to 33,052.84, 49,598.96 and 11,994.53 is: 17,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.84 : 49,598.96 = 11,994.53 : x
  2. Step 2: Convert to fraction form
    33,052.84/49,598.96 = 11,994.53/x
  3. Step 3: Cross multiply
    33,052.84x = 49,598.96 × 11,994.53
  4. Step 4: Simplify right side
    33,052.84x = 594,915,965.69
  5. Step 5: Solve for x
    x = 594,915,965.69/33,052.84
  6. Step 6: Final answer
    x = 17,998.94

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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.