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Finding the Fourth Proportional to 56,786.82, 85,119.06 and 27,141.62

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Solution

The fourth proportional to 56,786.82, 85,119.06 and 27,141.62 is: 40,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,786.82 : 85,119.06 = 27,141.62 : x
  2. Step 2: Convert to fraction form
    56,786.82/85,119.06 = 27,141.62/x
  3. Step 3: Cross multiply
    56,786.82x = 85,119.06 × 27,141.62
  4. Step 4: Simplify right side
    56,786.82x = 2,310,269,181.28
  5. Step 5: Solve for x
    x = 2,310,269,181.28/56,786.82
  6. Step 6: Final answer
    x = 40,683.19

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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.