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Finding the Fourth Proportional to 33,150.45, 49,727.32 and 9,461.49

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Solution

The fourth proportional to 33,150.45, 49,727.32 and 9,461.49 is: 14,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.45 : 49,727.32 = 9,461.49 : x
  2. Step 2: Convert to fraction form
    33,150.45/49,727.32 = 9,461.49/x
  3. Step 3: Cross multiply
    33,150.45x = 49,727.32 × 9,461.49
  4. Step 4: Simplify right side
    33,150.45x = 470,494,663.71
  5. Step 5: Solve for x
    x = 470,494,663.71/33,150.45
  6. Step 6: Final answer
    x = 14,192.71

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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.