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Finding the Fourth Proportional to 27,954.05, 41,916.60 and 8,230.01

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Solution

The fourth proportional to 27,954.05, 41,916.60 and 8,230.01 is: 12,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.05 : 41,916.60 = 8,230.01 : x
  2. Step 2: Convert to fraction form
    27,954.05/41,916.60 = 8,230.01/x
  3. Step 3: Cross multiply
    27,954.05x = 41,916.60 × 8,230.01
  4. Step 4: Simplify right side
    27,954.05x = 344,974,141.96
  5. Step 5: Solve for x
    x = 344,974,141.96/27,954.05
  6. Step 6: Final answer
    x = 12,340.76

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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.