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Finding the Fourth Proportional to 105,893.91, 158,846.31 and 27,008.82

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Solution

The fourth proportional to 105,893.91, 158,846.31 and 27,008.82 is: 40,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,893.91 : 158,846.31 = 27,008.82 : x
  2. Step 2: Convert to fraction form
    105,893.91/158,846.31 = 27,008.82/x
  3. Step 3: Cross multiply
    105,893.91x = 158,846.31 × 27,008.82
  4. Step 4: Simplify right side
    105,893.91x = 4,290,251,394.45
  5. Step 5: Solve for x
    x = 4,290,251,394.45/105,893.91
  6. Step 6: Final answer
    x = 40,514.62

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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.