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Finding the Fourth Proportional to 33,053.49, 49,576.46 and 9,682.29

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Solution

The fourth proportional to 33,053.49, 49,576.46 and 9,682.29 is: 14,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.49 : 49,576.46 = 9,682.29 : x
  2. Step 2: Convert to fraction form
    33,053.49/49,576.46 = 9,682.29/x
  3. Step 3: Cross multiply
    33,053.49x = 49,576.46 × 9,682.29
  4. Step 4: Simplify right side
    33,053.49x = 480,013,614.48
  5. Step 5: Solve for x
    x = 480,013,614.48/33,053.49
  6. Step 6: Final answer
    x = 14,522.33

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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.