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Finding the Fourth Proportional to 70,896.65, 106,361.55 and 24,149.52

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Solution

The fourth proportional to 70,896.65, 106,361.55 and 24,149.52 is: 36,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.65 : 106,361.55 = 24,149.52 : x
  2. Step 2: Convert to fraction form
    70,896.65/106,361.55 = 24,149.52/x
  3. Step 3: Cross multiply
    70,896.65x = 106,361.55 × 24,149.52
  4. Step 4: Simplify right side
    70,896.65x = 2,568,580,378.96
  5. Step 5: Solve for x
    x = 2,568,580,378.96/70,896.65
  6. Step 6: Final answer
    x = 36,229.93

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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.