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Finding the Fourth Proportional to 36,586.28, 50,489.16 and 19,819.28

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Solution

The fourth proportional to 36,586.28, 50,489.16 and 19,819.28 is: 27,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.28 : 50,489.16 = 19,819.28 : x
  2. Step 2: Convert to fraction form
    36,586.28/50,489.16 = 19,819.28/x
  3. Step 3: Cross multiply
    36,586.28x = 50,489.16 × 19,819.28
  4. Step 4: Simplify right side
    36,586.28x = 1,000,658,799.00
  5. Step 5: Solve for x
    x = 1,000,658,799.00/36,586.28
  6. Step 6: Final answer
    x = 27,350.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.