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Finding the Fourth Proportional to 47,948.82, 66,169.65 and 27,817.68

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Solution

The fourth proportional to 47,948.82, 66,169.65 and 27,817.68 is: 38,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948.82 : 66,169.65 = 27,817.68 : x
  2. Step 2: Convert to fraction form
    47,948.82/66,169.65 = 27,817.68/x
  3. Step 3: Cross multiply
    47,948.82x = 66,169.65 × 27,817.68
  4. Step 4: Simplify right side
    47,948.82x = 1,840,686,149.41
  5. Step 5: Solve for x
    x = 1,840,686,149.41/47,948.82
  6. Step 6: Final answer
    x = 38,388.56

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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.