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Finding the Fourth Proportional to 52,195.20, 78,163.20 and 41,827.20

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Solution

The fourth proportional to 52,195.20, 78,163.20 and 41,827.20 is: 62,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.20 : 78,163.20 = 41,827.20 : x
  2. Step 2: Convert to fraction form
    52,195.20/78,163.20 = 41,827.20/x
  3. Step 3: Cross multiply
    52,195.20x = 78,163.20 × 41,827.20
  4. Step 4: Simplify right side
    52,195.20x = 3,269,347,799.04
  5. Step 5: Solve for x
    x = 3,269,347,799.04/52,195.20
  6. Step 6: Final answer
    x = 62,636.94

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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.