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Finding the Fourth Proportional to 47,676.33, 65,796.48 and 27,534.06

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Solution

The fourth proportional to 47,676.33, 65,796.48 and 27,534.06 is: 37,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.33 : 65,796.48 = 27,534.06 : x
  2. Step 2: Convert to fraction form
    47,676.33/65,796.48 = 27,534.06/x
  3. Step 3: Cross multiply
    47,676.33x = 65,796.48 × 27,534.06
  4. Step 4: Simplify right side
    47,676.33x = 1,811,644,228.11
  5. Step 5: Solve for x
    x = 1,811,644,228.11/47,676.33
  6. Step 6: Final answer
    x = 37,998.82

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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.