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Finding the Fourth Proportional to 57,161.40, 85,742.10 and 36,166.20

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Solution

The fourth proportional to 57,161.40, 85,742.10 and 36,166.20 is: 54,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161.40 : 85,742.10 = 36,166.20 : x
  2. Step 2: Convert to fraction form
    57,161.40/85,742.10 = 36,166.20/x
  3. Step 3: Cross multiply
    57,161.40x = 85,742.10 × 36,166.20
  4. Step 4: Simplify right side
    57,161.40x = 3,100,965,937.02
  5. Step 5: Solve for x
    x = 3,100,965,937.02/57,161.40
  6. Step 6: Final answer
    x = 54,249.30

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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.