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Finding the Fourth Proportional to 36,586, 50,489.04 and 19,819.36

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Solution

The fourth proportional to 36,586, 50,489.04 and 19,819.36 is: 27,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 50,489.04 = 19,819.36 : x
  2. Step 2: Convert to fraction form
    36,586/50,489.04 = 19,819.36/x
  3. Step 3: Cross multiply
    36,586x = 50,489.04 × 19,819.36
  4. Step 4: Simplify right side
    36,586x = 1,000,660,459.81
  5. Step 5: Solve for x
    x = 1,000,660,459.81/36,586
  6. Step 6: Final answer
    x = 27,350.91

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