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Finding the Fourth Proportional to 20,077.52, 30,116 and 6,226.52

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Solution

The fourth proportional to 20,077.52, 30,116 and 6,226.52 is: 9,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.52 : 30,116 = 6,226.52 : x
  2. Step 2: Convert to fraction form
    20,077.52/30,116 = 6,226.52/x
  3. Step 3: Cross multiply
    20,077.52x = 30,116 × 6,226.52
  4. Step 4: Simplify right side
    20,077.52x = 187,517,876.32
  5. Step 5: Solve for x
    x = 187,517,876.32/20,077.52
  6. Step 6: Final answer
    x = 9,339.69

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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.