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Finding the Fourth Proportional to 33,247.74, 49,860.72 and 11,055

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Solution

The fourth proportional to 33,247.74, 49,860.72 and 11,055 is: 16,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.74 : 49,860.72 = 11,055 : x
  2. Step 2: Convert to fraction form
    33,247.74/49,860.72 = 11,055/x
  3. Step 3: Cross multiply
    33,247.74x = 49,860.72 × 11,055
  4. Step 4: Simplify right side
    33,247.74x = 551,210,259.60
  5. Step 5: Solve for x
    x = 551,210,259.60/33,247.74
  6. Step 6: Final answer
    x = 16,578.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.