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Finding the Fourth Proportional to 20,029.30, 30,048.87 and 6,881.86

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Solution

The fourth proportional to 20,029.30, 30,048.87 and 6,881.86 is: 10,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.30 : 30,048.87 = 6,881.86 : x
  2. Step 2: Convert to fraction form
    20,029.30/30,048.87 = 6,881.86/x
  3. Step 3: Cross multiply
    20,029.30x = 30,048.87 × 6,881.86
  4. Step 4: Simplify right side
    20,029.30x = 206,792,116.50
  5. Step 5: Solve for x
    x = 206,792,116.50/20,029.30
  6. Step 6: Final answer
    x = 10,324.48

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Why These Related Problems?

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