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Finding the Fourth Proportional to 100,581.80, 150,892.12 and 38,247.44

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Solution

The fourth proportional to 100,581.80, 150,892.12 and 38,247.44 is: 57,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.80 : 150,892.12 = 38,247.44 : x
  2. Step 2: Convert to fraction form
    100,581.80/150,892.12 = 38,247.44/x
  3. Step 3: Cross multiply
    100,581.80x = 150,892.12 × 38,247.44
  4. Step 4: Simplify right side
    100,581.80x = 5,771,237,306.17
  5. Step 5: Solve for x
    x = 5,771,237,306.17/100,581.80
  6. Step 6: Final answer
    x = 57,378.54

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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.