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Finding the Fourth Proportional to 106,524.72, 159,736.05 and 50,318.01

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Solution

The fourth proportional to 106,524.72, 159,736.05 and 50,318.01 is: 75,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524.72 : 159,736.05 = 50,318.01 : x
  2. Step 2: Convert to fraction form
    106,524.72/159,736.05 = 50,318.01/x
  3. Step 3: Cross multiply
    106,524.72x = 159,736.05 × 50,318.01
  4. Step 4: Simplify right side
    106,524.72x = 8,037,600,161.26
  5. Step 5: Solve for x
    x = 8,037,600,161.26/106,524.72
  6. Step 6: Final answer
    x = 75,452.91

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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.