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Finding the Fourth Proportional to 69,181.48, 103,814.22 and 27,625

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Solution

The fourth proportional to 69,181.48, 103,814.22 and 27,625 is: 41,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,181.48 : 103,814.22 = 27,625 : x
  2. Step 2: Convert to fraction form
    69,181.48/103,814.22 = 27,625/x
  3. Step 3: Cross multiply
    69,181.48x = 103,814.22 × 27,625
  4. Step 4: Simplify right side
    69,181.48x = 2,867,867,827.50
  5. Step 5: Solve for x
    x = 2,867,867,827.50/69,181.48
  6. Step 6: Final answer
    x = 41,454.27

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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.