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Finding the Fourth Proportional to 27,731.54, 41,406.14 and 27,451.28

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Solution

The fourth proportional to 27,731.54, 41,406.14 and 27,451.28 is: 40,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.54 : 41,406.14 = 27,451.28 : x
  2. Step 2: Convert to fraction form
    27,731.54/41,406.14 = 27,451.28/x
  3. Step 3: Cross multiply
    27,731.54x = 41,406.14 × 27,451.28
  4. Step 4: Simplify right side
    27,731.54x = 1,136,651,542.86
  5. Step 5: Solve for x
    x = 1,136,651,542.86/27,731.54
  6. Step 6: Final answer
    x = 40,987.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.