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Finding the Fourth Proportional to 51,754.46, 77,648.10 and 18,473.80

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Solution

The fourth proportional to 51,754.46, 77,648.10 and 18,473.80 is: 27,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.46 : 77,648.10 = 18,473.80 : x
  2. Step 2: Convert to fraction form
    51,754.46/77,648.10 = 18,473.80/x
  3. Step 3: Cross multiply
    51,754.46x = 77,648.10 × 18,473.80
  4. Step 4: Simplify right side
    51,754.46x = 1,434,455,469.78
  5. Step 5: Solve for x
    x = 1,434,455,469.78/51,754.46
  6. Step 6: Final answer
    x = 27,716.56

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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.