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Finding the Fourth Proportional to 37,142.82, 55,623.33 and 33,544.53

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Solution

The fourth proportional to 37,142.82, 55,623.33 and 33,544.53 is: 50,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.82 : 55,623.33 = 33,544.53 : x
  2. Step 2: Convert to fraction form
    37,142.82/55,623.33 = 33,544.53/x
  3. Step 3: Cross multiply
    37,142.82x = 55,623.33 × 33,544.53
  4. Step 4: Simplify right side
    37,142.82x = 1,865,858,461.88
  5. Step 5: Solve for x
    x = 1,865,858,461.88/37,142.82
  6. Step 6: Final answer
    x = 50,234.70

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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.