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Finding the Fourth Proportional to 27,570.78, 41,376.96 and 20,194.11

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Solution

The fourth proportional to 27,570.78, 41,376.96 and 20,194.11 is: 30,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.78 : 41,376.96 = 20,194.11 : x
  2. Step 2: Convert to fraction form
    27,570.78/41,376.96 = 20,194.11/x
  3. Step 3: Cross multiply
    27,570.78x = 41,376.96 × 20,194.11
  4. Step 4: Simplify right side
    27,570.78x = 835,570,881.71
  5. Step 5: Solve for x
    x = 835,570,881.71/27,570.78
  6. Step 6: Final answer
    x = 30,306.39

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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.