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Finding the Fourth Proportional to 106,105.40, 159,144.50 and 35,010.44

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Solution

The fourth proportional to 106,105.40, 159,144.50 and 35,010.44 is: 52,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,105.40 : 159,144.50 = 35,010.44 : x
  2. Step 2: Convert to fraction form
    106,105.40/159,144.50 = 35,010.44/x
  3. Step 3: Cross multiply
    106,105.40x = 159,144.50 × 35,010.44
  4. Step 4: Simplify right side
    106,105.40x = 5,571,717,997.81
  5. Step 5: Solve for x
    x = 5,571,717,997.81/106,105.40
  6. Step 6: Final answer
    x = 52,511.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.