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Finding the Fourth Proportional to 47,687.24, 65,811.47 and 27,544.97

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Solution

The fourth proportional to 47,687.24, 65,811.47 and 27,544.97 is: 38,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.24 : 65,811.47 = 27,544.97 : x
  2. Step 2: Convert to fraction form
    47,687.24/65,811.47 = 27,544.97/x
  3. Step 3: Cross multiply
    47,687.24x = 65,811.47 × 27,544.97
  4. Step 4: Simplify right side
    47,687.24x = 1,812,774,500.02
  5. Step 5: Solve for x
    x = 1,812,774,500.02/47,687.24
  6. Step 6: Final answer
    x = 38,013.83

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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.