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Finding the Fourth Proportional to 80,347.01, 120,471.92 and 35,965.49

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Solution

The fourth proportional to 80,347.01, 120,471.92 and 35,965.49 is: 53,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,347.01 : 120,471.92 = 35,965.49 : x
  2. Step 2: Convert to fraction form
    80,347.01/120,471.92 = 35,965.49/x
  3. Step 3: Cross multiply
    80,347.01x = 120,471.92 × 35,965.49
  4. Step 4: Simplify right side
    80,347.01x = 4,332,831,755.39
  5. Step 5: Solve for x
    x = 4,332,831,755.39/80,347.01
  6. Step 6: Final answer
    x = 53,926.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.