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Finding the Fourth Proportional to 47,817.92, 65,984.82 and 27,676.19

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Solution

The fourth proportional to 47,817.92, 65,984.82 and 27,676.19 is: 38,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.92 : 65,984.82 = 27,676.19 : x
  2. Step 2: Convert to fraction form
    47,817.92/65,984.82 = 27,676.19/x
  3. Step 3: Cross multiply
    47,817.92x = 65,984.82 × 27,676.19
  4. Step 4: Simplify right side
    47,817.92x = 1,826,208,415.44
  5. Step 5: Solve for x
    x = 1,826,208,415.44/47,817.92
  6. Step 6: Final answer
    x = 38,190.88

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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.