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Finding the Fourth Proportional to 73,281.85, 109,906.17 and 37,221.75

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Solution

The fourth proportional to 73,281.85, 109,906.17 and 37,221.75 is: 55,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,281.85 : 109,906.17 = 37,221.75 : x
  2. Step 2: Convert to fraction form
    73,281.85/109,906.17 = 37,221.75/x
  3. Step 3: Cross multiply
    73,281.85x = 109,906.17 × 37,221.75
  4. Step 4: Simplify right side
    73,281.85x = 4,090,899,247.56
  5. Step 5: Solve for x
    x = 4,090,899,247.56/73,281.85
  6. Step 6: Final answer
    x = 55,824.18

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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.