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Finding the Fourth Proportional to 52,093.50, 71,889.09 and 28,220.34

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Solution

The fourth proportional to 52,093.50, 71,889.09 and 28,220.34 is: 38,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.50 : 71,889.09 = 28,220.34 : x
  2. Step 2: Convert to fraction form
    52,093.50/71,889.09 = 28,220.34/x
  3. Step 3: Cross multiply
    52,093.50x = 71,889.09 × 28,220.34
  4. Step 4: Simplify right side
    52,093.50x = 2,028,734,562.09
  5. Step 5: Solve for x
    x = 2,028,734,562.09/52,093.50
  6. Step 6: Final answer
    x = 38,944.10

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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.