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Finding the Fourth Proportional to 52,783.14, 79,163.76 and 19,480.44

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Solution

The fourth proportional to 52,783.14, 79,163.76 and 19,480.44 is: 29,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.14 : 79,163.76 = 19,480.44 : x
  2. Step 2: Convert to fraction form
    52,783.14/79,163.76 = 19,480.44/x
  3. Step 3: Cross multiply
    52,783.14x = 79,163.76 × 19,480.44
  4. Step 4: Simplify right side
    52,783.14x = 1,542,144,876.85
  5. Step 5: Solve for x
    x = 1,542,144,876.85/52,783.14
  6. Step 6: Final answer
    x = 29,216.62

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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.