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Finding the Fourth Proportional to 52,105.62, 71,906.09 and 28,232.47

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Solution

The fourth proportional to 52,105.62, 71,906.09 and 28,232.47 is: 38,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.62 : 71,906.09 = 28,232.47 : x
  2. Step 2: Convert to fraction form
    52,105.62/71,906.09 = 28,232.47/x
  3. Step 3: Cross multiply
    52,105.62x = 71,906.09 × 28,232.47
  4. Step 4: Simplify right side
    52,105.62x = 2,030,086,207.81
  5. Step 5: Solve for x
    x = 2,030,086,207.81/52,105.62
  6. Step 6: Final answer
    x = 38,960.98

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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.