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Finding the Fourth Proportional to 47,954.97, 66,178.14 and 27,823.84

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Solution

The fourth proportional to 47,954.97, 66,178.14 and 27,823.84 is: 38,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.97 : 66,178.14 = 27,823.84 : x
  2. Step 2: Convert to fraction form
    47,954.97/66,178.14 = 27,823.84/x
  3. Step 3: Cross multiply
    47,954.97x = 66,178.14 × 27,823.84
  4. Step 4: Simplify right side
    47,954.97x = 1,841,329,978.86
  5. Step 5: Solve for x
    x = 1,841,329,978.86/47,954.97
  6. Step 6: Final answer
    x = 38,397.06

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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.