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Finding the Fourth Proportional to 104,906.14, 157,381.64 and 33,832.83

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Solution

The fourth proportional to 104,906.14, 157,381.64 and 33,832.83 is: 50,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.14 : 157,381.64 = 33,832.83 : x
  2. Step 2: Convert to fraction form
    104,906.14/157,381.64 = 33,832.83/x
  3. Step 3: Cross multiply
    104,906.14x = 157,381.64 × 33,832.83
  4. Step 4: Simplify right side
    104,906.14x = 5,324,666,271.24
  5. Step 5: Solve for x
    x = 5,324,666,271.24/104,906.14
  6. Step 6: Final answer
    x = 50,756.48

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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.