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Finding the Fourth Proportional to 51,797.51, 77,694.44 and 16,736.25

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Solution

The fourth proportional to 51,797.51, 77,694.44 and 16,736.25 is: 25,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797.51 : 77,694.44 = 16,736.25 : x
  2. Step 2: Convert to fraction form
    51,797.51/77,694.44 = 16,736.25/x
  3. Step 3: Cross multiply
    51,797.51x = 77,694.44 × 16,736.25
  4. Step 4: Simplify right side
    51,797.51x = 1,300,313,487.77
  5. Step 5: Solve for x
    x = 1,300,313,487.77/51,797.51
  6. Step 6: Final answer
    x = 25,103.79

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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.