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Finding the Fourth Proportional to 47,891.78, 66,083.75 and 27,744.95

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Solution

The fourth proportional to 47,891.78, 66,083.75 and 27,744.95 is: 38,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.78 : 66,083.75 = 27,744.95 : x
  2. Step 2: Convert to fraction form
    47,891.78/66,083.75 = 27,744.95/x
  3. Step 3: Cross multiply
    47,891.78x = 66,083.75 × 27,744.95
  4. Step 4: Simplify right side
    47,891.78x = 1,833,490,470.09
  5. Step 5: Solve for x
    x = 1,833,490,470.09/47,891.78
  6. Step 6: Final answer
    x = 38,284.03

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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.