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Finding the Fourth Proportional to 30,224.96, 41,697 and 20,143.56

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Solution

The fourth proportional to 30,224.96, 41,697 and 20,143.56 is: 27,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.96 : 41,697 = 20,143.56 : x
  2. Step 2: Convert to fraction form
    30,224.96/41,697 = 20,143.56/x
  3. Step 3: Cross multiply
    30,224.96x = 41,697 × 20,143.56
  4. Step 4: Simplify right side
    30,224.96x = 839,926,021.32
  5. Step 5: Solve for x
    x = 839,926,021.32/30,224.96
  6. Step 6: Final answer
    x = 27,789.15

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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.