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Finding the Fourth Proportional to 73,631.91, 110,451.51 and 21,049.14

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Solution

The fourth proportional to 73,631.91, 110,451.51 and 21,049.14 is: 31,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,631.91 : 110,451.51 = 21,049.14 : x
  2. Step 2: Convert to fraction form
    73,631.91/110,451.51 = 21,049.14/x
  3. Step 3: Cross multiply
    73,631.91x = 110,451.51 × 21,049.14
  4. Step 4: Simplify right side
    73,631.91x = 2,324,909,297.20
  5. Step 5: Solve for x
    x = 2,324,909,297.20/73,631.91
  6. Step 6: Final answer
    x = 31,574.75

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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.