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Finding the Fourth Proportional to 106,961, 160,450.14 and 33,089

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Solution

The fourth proportional to 106,961, 160,450.14 and 33,089 is: 49,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,961 : 160,450.14 = 33,089 : x
  2. Step 2: Convert to fraction form
    106,961/160,450.14 = 33,089/x
  3. Step 3: Cross multiply
    106,961x = 160,450.14 × 33,089
  4. Step 4: Simplify right side
    106,961x = 5,309,134,682.46
  5. Step 5: Solve for x
    x = 5,309,134,682.46/106,961
  6. Step 6: Final answer
    x = 49,636.17

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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.