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Finding the Fourth Proportional to 52,046.57, 71,824.29 and 28,173.44

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Solution

The fourth proportional to 52,046.57, 71,824.29 and 28,173.44 is: 38,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.57 : 71,824.29 = 28,173.44 : x
  2. Step 2: Convert to fraction form
    52,046.57/71,824.29 = 28,173.44/x
  3. Step 3: Cross multiply
    52,046.57x = 71,824.29 × 28,173.44
  4. Step 4: Simplify right side
    52,046.57x = 2,023,536,965.74
  5. Step 5: Solve for x
    x = 2,023,536,965.74/52,046.57
  6. Step 6: Final answer
    x = 38,879.36

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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.