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Finding the Fourth Proportional to 52,105.99, 71,906.25 and 28,232.68

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Solution

The fourth proportional to 52,105.99, 71,906.25 and 28,232.68 is: 38,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.99 : 71,906.25 = 28,232.68 : x
  2. Step 2: Convert to fraction form
    52,105.99/71,906.25 = 28,232.68/x
  3. Step 3: Cross multiply
    52,105.99x = 71,906.25 × 28,232.68
  4. Step 4: Simplify right side
    52,105.99x = 2,030,106,146.25
  5. Step 5: Solve for x
    x = 2,030,106,146.25/52,105.99
  6. Step 6: Final answer
    x = 38,961.09

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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.