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Finding the Fourth Proportional to 27,565.92, 41,305.41 and 20,136.06

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Solution

The fourth proportional to 27,565.92, 41,305.41 and 20,136.06 is: 30,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.92 : 41,305.41 = 20,136.06 : x
  2. Step 2: Convert to fraction form
    27,565.92/41,305.41 = 20,136.06/x
  3. Step 3: Cross multiply
    27,565.92x = 41,305.41 × 20,136.06
  4. Step 4: Simplify right side
    27,565.92x = 831,728,214.08
  5. Step 5: Solve for x
    x = 831,728,214.08/27,565.92
  6. Step 6: Final answer
    x = 30,172.34

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