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Finding the Fourth Proportional to 52,092.70, 71,887.68 and 28,219.43

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Solution

The fourth proportional to 52,092.70, 71,887.68 and 28,219.43 is: 38,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.70 : 71,887.68 = 28,219.43 : x
  2. Step 2: Convert to fraction form
    52,092.70/71,887.68 = 28,219.43/x
  3. Step 3: Cross multiply
    52,092.70x = 71,887.68 × 28,219.43
  4. Step 4: Simplify right side
    52,092.70x = 2,028,629,533.34
  5. Step 5: Solve for x
    x = 2,028,629,533.34/52,092.70
  6. Step 6: Final answer
    x = 38,942.69

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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.