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Finding the Fourth Proportional to 100,384.76, 150,577.41 and 33,871.61

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Solution

The fourth proportional to 100,384.76, 150,577.41 and 33,871.61 is: 50,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.76 : 150,577.41 = 33,871.61 : x
  2. Step 2: Convert to fraction form
    100,384.76/150,577.41 = 33,871.61/x
  3. Step 3: Cross multiply
    100,384.76x = 150,577.41 × 33,871.61
  4. Step 4: Simplify right side
    100,384.76x = 5,100,299,306.33
  5. Step 5: Solve for x
    x = 5,100,299,306.33/100,384.76
  6. Step 6: Final answer
    x = 50,807.51

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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.