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Finding the Fourth Proportional to 106,563.48, 159,916.54 and 44,233.96

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Solution

The fourth proportional to 106,563.48, 159,916.54 and 44,233.96 is: 66,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563.48 : 159,916.54 = 44,233.96 : x
  2. Step 2: Convert to fraction form
    106,563.48/159,916.54 = 44,233.96/x
  3. Step 3: Cross multiply
    106,563.48x = 159,916.54 × 44,233.96
  4. Step 4: Simplify right side
    106,563.48x = 7,073,741,833.70
  5. Step 5: Solve for x
    x = 7,073,741,833.70/106,563.48
  6. Step 6: Final answer
    x = 66,380.54

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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.