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Finding the Fourth Proportional to 51,866.96, 77,794.77 and 16,797.20

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Solution

The fourth proportional to 51,866.96, 77,794.77 and 16,797.20 is: 25,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866.96 : 77,794.77 = 16,797.20 : x
  2. Step 2: Convert to fraction form
    51,866.96/77,794.77 = 16,797.20/x
  3. Step 3: Cross multiply
    51,866.96x = 77,794.77 × 16,797.20
  4. Step 4: Simplify right side
    51,866.96x = 1,306,734,310.64
  5. Step 5: Solve for x
    x = 1,306,734,310.64/51,866.96
  6. Step 6: Final answer
    x = 25,193.96

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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.