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Finding the Fourth Proportional to 20,029.14, 30,041.42 and 5,239.49

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Solution

The fourth proportional to 20,029.14, 30,041.42 and 5,239.49 is: 7,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.14 : 30,041.42 = 5,239.49 : x
  2. Step 2: Convert to fraction form
    20,029.14/30,041.42 = 5,239.49/x
  3. Step 3: Cross multiply
    20,029.14x = 30,041.42 × 5,239.49
  4. Step 4: Simplify right side
    20,029.14x = 157,401,543.27
  5. Step 5: Solve for x
    x = 157,401,543.27/20,029.14
  6. Step 6: Final answer
    x = 7,858.63

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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.