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Finding the Fourth Proportional to 50,084, 69,115.92 and 27,729.44

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Solution

The fourth proportional to 50,084, 69,115.92 and 27,729.44 is: 38,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,084 : 69,115.92 = 27,729.44 : x
  2. Step 2: Convert to fraction form
    50,084/69,115.92 = 27,729.44/x
  3. Step 3: Cross multiply
    50,084x = 69,115.92 × 27,729.44
  4. Step 4: Simplify right side
    50,084x = 1,916,545,756.68
  5. Step 5: Solve for x
    x = 1,916,545,756.68/50,084
  6. Step 6: Final answer
    x = 38,266.63

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1.5x scale

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.