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Finding the Fourth Proportional to 47,741.81, 65,876.38 and 27,594.81

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Solution

The fourth proportional to 47,741.81, 65,876.38 and 27,594.81 is: 38,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741.81 : 65,876.38 = 27,594.81 : x
  2. Step 2: Convert to fraction form
    47,741.81/65,876.38 = 27,594.81/x
  3. Step 3: Cross multiply
    47,741.81x = 65,876.38 × 27,594.81
  4. Step 4: Simplify right side
    47,741.81x = 1,817,846,189.59
  5. Step 5: Solve for x
    x = 1,817,846,189.59/47,741.81
  6. Step 6: Final answer
    x = 38,076.61

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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.