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Finding the Fourth Proportional to 33,744.81, 50,617.22 and 10,052.72

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Solution

The fourth proportional to 33,744.81, 50,617.22 and 10,052.72 is: 15,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.81 : 50,617.22 = 10,052.72 : x
  2. Step 2: Convert to fraction form
    33,744.81/50,617.22 = 10,052.72/x
  3. Step 3: Cross multiply
    33,744.81x = 50,617.22 × 10,052.72
  4. Step 4: Simplify right side
    33,744.81x = 508,840,436.49
  5. Step 5: Solve for x
    x = 508,840,436.49/33,744.81
  6. Step 6: Final answer
    x = 15,079.07

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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.