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Finding the Fourth Proportional to 27,847.48, 41,772.36 and 7,071.52

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Solution

The fourth proportional to 27,847.48, 41,772.36 and 7,071.52 is: 10,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.48 : 41,772.36 = 7,071.52 : x
  2. Step 2: Convert to fraction form
    27,847.48/41,772.36 = 7,071.52/x
  3. Step 3: Cross multiply
    27,847.48x = 41,772.36 × 7,071.52
  4. Step 4: Simplify right side
    27,847.48x = 295,394,079.19
  5. Step 5: Solve for x
    x = 295,394,079.19/27,847.48
  6. Step 6: Final answer
    x = 10,607.57

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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.