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Finding the Fourth Proportional to 34,878.77, 48,151.07 and 27,997.91

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Solution

The fourth proportional to 34,878.77, 48,151.07 and 27,997.91 is: 38,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.77 : 48,151.07 = 27,997.91 : x
  2. Step 2: Convert to fraction form
    34,878.77/48,151.07 = 27,997.91/x
  3. Step 3: Cross multiply
    34,878.77x = 48,151.07 × 27,997.91
  4. Step 4: Simplify right side
    34,878.77x = 1,348,129,324.26
  5. Step 5: Solve for x
    x = 1,348,129,324.26/34,878.77
  6. Step 6: Final answer
    x = 38,651.86

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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.