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Finding the Fourth Proportional to 52,147.44, 71,962.92 and 28,273.68

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Solution

The fourth proportional to 52,147.44, 71,962.92 and 28,273.68 is: 39,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.44 : 71,962.92 = 28,273.68 : x
  2. Step 2: Convert to fraction form
    52,147.44/71,962.92 = 28,273.68/x
  3. Step 3: Cross multiply
    52,147.44x = 71,962.92 × 28,273.68
  4. Step 4: Simplify right side
    52,147.44x = 2,034,656,571.95
  5. Step 5: Solve for x
    x = 2,034,656,571.95/52,147.44
  6. Step 6: Final answer
    x = 39,017.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.