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Finding the Fourth Proportional to 100,415.70, 150,518.45 and 33,832.82

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Solution

The fourth proportional to 100,415.70, 150,518.45 and 33,832.82 is: 50,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.70 : 150,518.45 = 33,832.82 : x
  2. Step 2: Convert to fraction form
    100,415.70/150,518.45 = 33,832.82/x
  3. Step 3: Cross multiply
    100,415.70x = 150,518.45 × 33,832.82
  4. Step 4: Simplify right side
    100,415.70x = 5,092,464,086.41
  5. Step 5: Solve for x
    x = 5,092,464,086.41/100,415.70
  6. Step 6: Final answer
    x = 50,713.82

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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.