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Finding the Fourth Proportional to 100,456.77, 150,580.36 and 33,874.01

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Solution

The fourth proportional to 100,456.77, 150,580.36 and 33,874.01 is: 50,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456.77 : 150,580.36 = 33,874.01 : x
  2. Step 2: Convert to fraction form
    100,456.77/150,580.36 = 33,874.01/x
  3. Step 3: Cross multiply
    100,456.77x = 150,580.36 × 33,874.01
  4. Step 4: Simplify right side
    100,456.77x = 5,100,760,474.56
  5. Step 5: Solve for x
    x = 5,100,760,474.56/100,456.77
  6. Step 6: Final answer
    x = 50,775.67

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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.