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Finding the Fourth Proportional to 52,103.43, 71,902.64 and 28,230.75

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Solution

The fourth proportional to 52,103.43, 71,902.64 and 28,230.75 is: 38,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.43 : 71,902.64 = 28,230.75 : x
  2. Step 2: Convert to fraction form
    52,103.43/71,902.64 = 28,230.75/x
  3. Step 3: Cross multiply
    52,103.43x = 71,902.64 × 28,230.75
  4. Step 4: Simplify right side
    52,103.43x = 2,029,865,313.03
  5. Step 5: Solve for x
    x = 2,029,865,313.03/52,103.43
  6. Step 6: Final answer
    x = 38,958.38

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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.