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Finding the Fourth Proportional to 33,142.26, 49,706.19 and 10,950.38

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Solution

The fourth proportional to 33,142.26, 49,706.19 and 10,950.38 is: 16,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.26 : 49,706.19 = 10,950.38 : x
  2. Step 2: Convert to fraction form
    33,142.26/49,706.19 = 10,950.38/x
  3. Step 3: Cross multiply
    33,142.26x = 49,706.19 × 10,950.38
  4. Step 4: Simplify right side
    33,142.26x = 544,301,668.85
  5. Step 5: Solve for x
    x = 544,301,668.85/33,142.26
  6. Step 6: Final answer
    x = 16,423.19

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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.