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Finding the Fourth Proportional to 27,737.02, 41,606.34 and 8,020

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Solution

The fourth proportional to 27,737.02, 41,606.34 and 8,020 is: 12,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.02 : 41,606.34 = 8,020 : x
  2. Step 2: Convert to fraction form
    27,737.02/41,606.34 = 8,020/x
  3. Step 3: Cross multiply
    27,737.02x = 41,606.34 × 8,020
  4. Step 4: Simplify right side
    27,737.02x = 333,682,846.80
  5. Step 5: Solve for x
    x = 333,682,846.80/27,737.02
  6. Step 6: Final answer
    x = 12,030.23

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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.