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Finding the Fourth Proportional to 41,805.94, 62,714.79 and 12,226

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Solution

The fourth proportional to 41,805.94, 62,714.79 and 12,226 is: 18,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805.94 : 62,714.79 = 12,226 : x
  2. Step 2: Convert to fraction form
    41,805.94/62,714.79 = 12,226/x
  3. Step 3: Cross multiply
    41,805.94x = 62,714.79 × 12,226
  4. Step 4: Simplify right side
    41,805.94x = 766,751,022.54
  5. Step 5: Solve for x
    x = 766,751,022.54/41,805.94
  6. Step 6: Final answer
    x = 18,340.72

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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.