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Finding the Fourth Proportional to 67,874.72, 101,788.44 and 27,882.32

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Solution

The fourth proportional to 67,874.72, 101,788.44 and 27,882.32 is: 41,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.72 : 101,788.44 = 27,882.32 : x
  2. Step 2: Convert to fraction form
    67,874.72/101,788.44 = 27,882.32/x
  3. Step 3: Cross multiply
    67,874.72x = 101,788.44 × 27,882.32
  4. Step 4: Simplify right side
    67,874.72x = 2,838,097,856.38
  5. Step 5: Solve for x
    x = 2,838,097,856.38/67,874.72
  6. Step 6: Final answer
    x = 41,813.77

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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.