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Finding the Fourth Proportional to 34,227.60, 51,357.84 and 16,687.86

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Solution

The fourth proportional to 34,227.60, 51,357.84 and 16,687.86 is: 25,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.60 : 51,357.84 = 16,687.86 : x
  2. Step 2: Convert to fraction form
    34,227.60/51,357.84 = 16,687.86/x
  3. Step 3: Cross multiply
    34,227.60x = 51,357.84 × 16,687.86
  4. Step 4: Simplify right side
    34,227.60x = 857,052,443.82
  5. Step 5: Solve for x
    x = 857,052,443.82/34,227.60
  6. Step 6: Final answer
    x = 25,039.81

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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.