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Finding the Fourth Proportional to 33,286.74, 49,929.96 and 9,913.20

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Solution

The fourth proportional to 33,286.74, 49,929.96 and 9,913.20 is: 14,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,286.74 : 49,929.96 = 9,913.20 : x
  2. Step 2: Convert to fraction form
    33,286.74/49,929.96 = 9,913.20/x
  3. Step 3: Cross multiply
    33,286.74x = 49,929.96 × 9,913.20
  4. Step 4: Simplify right side
    33,286.74x = 494,965,679.47
  5. Step 5: Solve for x
    x = 494,965,679.47/33,286.74
  6. Step 6: Final answer
    x = 14,869.76

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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.