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Finding the Fourth Proportional to 20,053.85, 30,085.98 and 6,013.31

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Solution

The fourth proportional to 20,053.85, 30,085.98 and 6,013.31 is: 9,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.85 : 30,085.98 = 6,013.31 : x
  2. Step 2: Convert to fraction form
    20,053.85/30,085.98 = 6,013.31/x
  3. Step 3: Cross multiply
    20,053.85x = 30,085.98 × 6,013.31
  4. Step 4: Simplify right side
    20,053.85x = 180,916,324.39
  5. Step 5: Solve for x
    x = 180,916,324.39/20,053.85
  6. Step 6: Final answer
    x = 9,021.53

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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.