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Finding the Fourth Proportional to 47,954.41, 66,177.24 and 27,823.21

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Solution

The fourth proportional to 47,954.41, 66,177.24 and 27,823.21 is: 38,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.41 : 66,177.24 = 27,823.21 : x
  2. Step 2: Convert to fraction form
    47,954.41/66,177.24 = 27,823.21/x
  3. Step 3: Cross multiply
    47,954.41x = 66,177.24 × 27,823.21
  4. Step 4: Simplify right side
    47,954.41x = 1,841,262,975.96
  5. Step 5: Solve for x
    x = 1,841,262,975.96/47,954.41
  6. Step 6: Final answer
    x = 38,396.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.