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Finding the Fourth Proportional to 51,975.77, 71,744.99 and 30,754.98

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Solution

The fourth proportional to 51,975.77, 71,744.99 and 30,754.98 is: 42,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975.77 : 71,744.99 = 30,754.98 : x
  2. Step 2: Convert to fraction form
    51,975.77/71,744.99 = 30,754.98/x
  3. Step 3: Cross multiply
    51,975.77x = 71,744.99 × 30,754.98
  4. Step 4: Simplify right side
    51,975.77x = 2,206,515,578.78
  5. Step 5: Solve for x
    x = 2,206,515,578.78/51,975.77
  6. Step 6: Final answer
    x = 42,452.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.