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Finding the Fourth Proportional to 52,105.10, 71,905.10 and 28,231.77

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Solution

The fourth proportional to 52,105.10, 71,905.10 and 28,231.77 is: 38,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.10 : 71,905.10 = 28,231.77 : x
  2. Step 2: Convert to fraction form
    52,105.10/71,905.10 = 28,231.77/x
  3. Step 3: Cross multiply
    52,105.10x = 71,905.10 × 28,231.77
  4. Step 4: Simplify right side
    52,105.10x = 2,030,008,245.03
  5. Step 5: Solve for x
    x = 2,030,008,245.03/52,105.10
  6. Step 6: Final answer
    x = 38,959.88

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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.