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Finding the Fourth Proportional to 27,861, 41,793.42 and 9,136.08

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Solution

The fourth proportional to 27,861, 41,793.42 and 9,136.08 is: 13,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861 : 41,793.42 = 9,136.08 : x
  2. Step 2: Convert to fraction form
    27,861/41,793.42 = 9,136.08/x
  3. Step 3: Cross multiply
    27,861x = 41,793.42 × 9,136.08
  4. Step 4: Simplify right side
    27,861x = 381,828,028.59
  5. Step 5: Solve for x
    x = 381,828,028.59/27,861
  6. Step 6: Final answer
    x = 13,704.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.