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Finding the Fourth Proportional to 39,764.54, 54,817.14 and 27,790.66

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Solution

The fourth proportional to 39,764.54, 54,817.14 and 27,790.66 is: 38,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,764.54 : 54,817.14 = 27,790.66 : x
  2. Step 2: Convert to fraction form
    39,764.54/54,817.14 = 27,790.66/x
  3. Step 3: Cross multiply
    39,764.54x = 54,817.14 × 27,790.66
  4. Step 4: Simplify right side
    39,764.54x = 1,523,404,499.91
  5. Step 5: Solve for x
    x = 1,523,404,499.91/39,764.54
  6. Step 6: Final answer
    x = 38,310.63

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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.