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Finding the Fourth Proportional to 27,097.41, 40,593.51 and 19,968.70

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Solution

The fourth proportional to 27,097.41, 40,593.51 and 19,968.70 is: 29,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.41 : 40,593.51 = 19,968.70 : x
  2. Step 2: Convert to fraction form
    27,097.41/40,593.51 = 19,968.70/x
  3. Step 3: Cross multiply
    27,097.41x = 40,593.51 × 19,968.70
  4. Step 4: Simplify right side
    27,097.41x = 810,599,521.65
  5. Step 5: Solve for x
    x = 810,599,521.65/27,097.41
  6. Step 6: Final answer
    x = 29,914.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.