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Finding the Fourth Proportional to 36,586.78, 50,489.85 and 19,819.78

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Solution

The fourth proportional to 36,586.78, 50,489.85 and 19,819.78 is: 27,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.78 : 50,489.85 = 19,819.78 : x
  2. Step 2: Convert to fraction form
    36,586.78/50,489.85 = 19,819.78/x
  3. Step 3: Cross multiply
    36,586.78x = 50,489.85 × 19,819.78
  4. Step 4: Simplify right side
    36,586.78x = 1,000,697,719.23
  5. Step 5: Solve for x
    x = 1,000,697,719.23/36,586.78
  6. Step 6: Final answer
    x = 27,351.35

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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.