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Finding the Fourth Proportional to 106,704.81, 160,057.22 and 36,584.73

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Solution

The fourth proportional to 106,704.81, 160,057.22 and 36,584.73 is: 54,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704.81 : 160,057.22 = 36,584.73 : x
  2. Step 2: Convert to fraction form
    106,704.81/160,057.22 = 36,584.73/x
  3. Step 3: Cross multiply
    106,704.81x = 160,057.22 × 36,584.73
  4. Step 4: Simplify right side
    106,704.81x = 5,855,649,995.33
  5. Step 5: Solve for x
    x = 5,855,649,995.33/106,704.81
  6. Step 6: Final answer
    x = 54,877.10

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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.