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Finding the Fourth Proportional to 33,506.76, 50,265.54 and 10,131.24

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Solution

The fourth proportional to 33,506.76, 50,265.54 and 10,131.24 is: 15,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.76 : 50,265.54 = 10,131.24 : x
  2. Step 2: Convert to fraction form
    33,506.76/50,265.54 = 10,131.24/x
  3. Step 3: Cross multiply
    33,506.76x = 50,265.54 × 10,131.24
  4. Step 4: Simplify right side
    33,506.76x = 509,252,249.47
  5. Step 5: Solve for x
    x = 509,252,249.47/33,506.76
  6. Step 6: Final answer
    x = 15,198.49

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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.