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Finding the Fourth Proportional to 20,540.49, 30,811.51 and 5,749.03

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Solution

The fourth proportional to 20,540.49, 30,811.51 and 5,749.03 is: 8,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.49 : 30,811.51 = 5,749.03 : x
  2. Step 2: Convert to fraction form
    20,540.49/30,811.51 = 5,749.03/x
  3. Step 3: Cross multiply
    20,540.49x = 30,811.51 × 5,749.03
  4. Step 4: Simplify right side
    20,540.49x = 177,136,147.51
  5. Step 5: Solve for x
    x = 177,136,147.51/20,540.49
  6. Step 6: Final answer
    x = 8,623.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.