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Finding the Fourth Proportional to 33,176.24, 49,772.79 and 9,802.68

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Solution

The fourth proportional to 33,176.24, 49,772.79 and 9,802.68 is: 14,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.24 : 49,772.79 = 9,802.68 : x
  2. Step 2: Convert to fraction form
    33,176.24/49,772.79 = 9,802.68/x
  3. Step 3: Cross multiply
    33,176.24x = 49,772.79 × 9,802.68
  4. Step 4: Simplify right side
    33,176.24x = 487,906,733.08
  5. Step 5: Solve for x
    x = 487,906,733.08/33,176.24
  6. Step 6: Final answer
    x = 14,706.51

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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.