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Finding the Fourth Proportional to 33,049.05, 49,573.57 and 9,675.49

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Solution

The fourth proportional to 33,049.05, 49,573.57 and 9,675.49 is: 14,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.05 : 49,573.57 = 9,675.49 : x
  2. Step 2: Convert to fraction form
    33,049.05/49,573.57 = 9,675.49/x
  3. Step 3: Cross multiply
    33,049.05x = 49,573.57 × 9,675.49
  4. Step 4: Simplify right side
    33,049.05x = 479,648,580.80
  5. Step 5: Solve for x
    x = 479,648,580.80/33,049.05
  6. Step 6: Final answer
    x = 14,513.23

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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.