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Finding the Fourth Proportional to 73,682.72, 110,442 and 29,297.60

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Solution

The fourth proportional to 73,682.72, 110,442 and 29,297.60 is: 43,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682.72 : 110,442 = 29,297.60 : x
  2. Step 2: Convert to fraction form
    73,682.72/110,442 = 29,297.60/x
  3. Step 3: Cross multiply
    73,682.72x = 110,442 × 29,297.60
  4. Step 4: Simplify right side
    73,682.72x = 3,235,685,539.20
  5. Step 5: Solve for x
    x = 3,235,685,539.20/73,682.72
  6. Step 6: Final answer
    x = 43,913.76

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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.