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Finding the Fourth Proportional to 52,119.87, 71,950.22 and 34,921.86

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Solution

The fourth proportional to 52,119.87, 71,950.22 and 34,921.86 is: 48,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.87 : 71,950.22 = 34,921.86 : x
  2. Step 2: Convert to fraction form
    52,119.87/71,950.22 = 34,921.86/x
  3. Step 3: Cross multiply
    52,119.87x = 71,950.22 × 34,921.86
  4. Step 4: Simplify right side
    52,119.87x = 2,512,635,335.20
  5. Step 5: Solve for x
    x = 2,512,635,335.20/52,119.87
  6. Step 6: Final answer
    x = 48,208.78

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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.