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Finding the Fourth Proportional to 33,052.53, 49,598.49 and 11,994.21

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Solution

The fourth proportional to 33,052.53, 49,598.49 and 11,994.21 is: 17,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.53 : 49,598.49 = 11,994.21 : x
  2. Step 2: Convert to fraction form
    33,052.53/49,598.49 = 11,994.21/x
  3. Step 3: Cross multiply
    33,052.53x = 49,598.49 × 11,994.21
  4. Step 4: Simplify right side
    33,052.53x = 594,894,935.72
  5. Step 5: Solve for x
    x = 594,894,935.72/33,052.53
  6. Step 6: Final answer
    x = 17,998.47

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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.