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Finding the Fourth Proportional to 27,701.73, 41,570.82 and 10,171.71

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Solution

The fourth proportional to 27,701.73, 41,570.82 and 10,171.71 is: 15,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.73 : 41,570.82 = 10,171.71 : x
  2. Step 2: Convert to fraction form
    27,701.73/41,570.82 = 10,171.71/x
  3. Step 3: Cross multiply
    27,701.73x = 41,570.82 × 10,171.71
  4. Step 4: Simplify right side
    27,701.73x = 422,846,325.50
  5. Step 5: Solve for x
    x = 422,846,325.50/27,701.73
  6. Step 6: Final answer
    x = 15,264.26

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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.