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Finding the Fourth Proportional to 34,878.27, 48,150.38 and 27,997.41

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Solution

The fourth proportional to 34,878.27, 48,150.38 and 27,997.41 is: 38,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.27 : 48,150.38 = 27,997.41 : x
  2. Step 2: Convert to fraction form
    34,878.27/48,150.38 = 27,997.41/x
  3. Step 3: Cross multiply
    34,878.27x = 48,150.38 × 27,997.41
  4. Step 4: Simplify right side
    34,878.27x = 1,348,085,790.53
  5. Step 5: Solve for x
    x = 1,348,085,790.53/34,878.27
  6. Step 6: Final answer
    x = 38,651.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.