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Finding the Fourth Proportional to 27,564.21, 41,346.42 and 6,787.71

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Solution

The fourth proportional to 27,564.21, 41,346.42 and 6,787.71 is: 10,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.21 : 41,346.42 = 6,787.71 : x
  2. Step 2: Convert to fraction form
    27,564.21/41,346.42 = 6,787.71/x
  3. Step 3: Cross multiply
    27,564.21x = 41,346.42 × 6,787.71
  4. Step 4: Simplify right side
    27,564.21x = 280,647,508.50
  5. Step 5: Solve for x
    x = 280,647,508.50/27,564.21
  6. Step 6: Final answer
    x = 10,181.59

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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.