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Finding the Fourth Proportional to 47,516.69, 65,580.39 and 27,098.80

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Solution

The fourth proportional to 47,516.69, 65,580.39 and 27,098.80 is: 37,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,516.69 : 65,580.39 = 27,098.80 : x
  2. Step 2: Convert to fraction form
    47,516.69/65,580.39 = 27,098.80/x
  3. Step 3: Cross multiply
    47,516.69x = 65,580.39 × 27,098.80
  4. Step 4: Simplify right side
    47,516.69x = 1,777,149,872.53
  5. Step 5: Solve for x
    x = 1,777,149,872.53/47,516.69
  6. Step 6: Final answer
    x = 37,400.54

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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.