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Finding the Fourth Proportional to 51,293.44, 76,947.84 and 16,221.44

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Solution

The fourth proportional to 51,293.44, 76,947.84 and 16,221.44 is: 24,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,293.44 : 76,947.84 = 16,221.44 : x
  2. Step 2: Convert to fraction form
    51,293.44/76,947.84 = 16,221.44/x
  3. Step 3: Cross multiply
    51,293.44x = 76,947.84 × 16,221.44
  4. Step 4: Simplify right side
    51,293.44x = 1,248,204,769.69
  5. Step 5: Solve for x
    x = 1,248,204,769.69/51,293.44
  6. Step 6: Final answer
    x = 24,334.59

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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.