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Finding the Fourth Proportional to 33,744.64, 50,617.64 and 11,583.48

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Solution

The fourth proportional to 33,744.64, 50,617.64 and 11,583.48 is: 17,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.64 : 50,617.64 = 11,583.48 : x
  2. Step 2: Convert to fraction form
    33,744.64/50,617.64 = 11,583.48/x
  3. Step 3: Cross multiply
    33,744.64x = 50,617.64 × 11,583.48
  4. Step 4: Simplify right side
    33,744.64x = 586,328,420.59
  5. Step 5: Solve for x
    x = 586,328,420.59/33,744.64
  6. Step 6: Final answer
    x = 17,375.45

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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.