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Finding the Fourth Proportional to 33,102.42, 49,654.09 and 18,340.17

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Solution

The fourth proportional to 33,102.42, 49,654.09 and 18,340.17 is: 27,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.42 : 49,654.09 = 18,340.17 : x
  2. Step 2: Convert to fraction form
    33,102.42/49,654.09 = 18,340.17/x
  3. Step 3: Cross multiply
    33,102.42x = 49,654.09 × 18,340.17
  4. Step 4: Simplify right side
    33,102.42x = 910,664,516.24
  5. Step 5: Solve for x
    x = 910,664,516.24/33,102.42
  6. Step 6: Final answer
    x = 27,510.51

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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.