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Finding the Fourth Proportional to 106,936, 160,404 and 33,064

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Solution

The fourth proportional to 106,936, 160,404 and 33,064 is: 49,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,936 : 160,404 = 33,064 : x
  2. Step 2: Convert to fraction form
    106,936/160,404 = 33,064/x
  3. Step 3: Cross multiply
    106,936x = 160,404 × 33,064
  4. Step 4: Simplify right side
    106,936x = 5,303,597,856
  5. Step 5: Solve for x
    x = 5,303,597,856/106,936
  6. Step 6: Final answer
    x = 49,596

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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.