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Finding the Fourth Proportional to 52,092.50, 71,887.83 and 28,219.11

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Solution

The fourth proportional to 52,092.50, 71,887.83 and 28,219.11 is: 38,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.50 : 71,887.83 = 28,219.11 : x
  2. Step 2: Convert to fraction form
    52,092.50/71,887.83 = 28,219.11/x
  3. Step 3: Cross multiply
    52,092.50x = 71,887.83 × 28,219.11
  4. Step 4: Simplify right side
    52,092.50x = 2,028,610,582.43
  5. Step 5: Solve for x
    x = 2,028,610,582.43/52,092.50
  6. Step 6: Final answer
    x = 38,942.47

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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.