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Finding the Fourth Proportional to 100,523.35, 150,789.21 and 33,970.24

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Solution

The fourth proportional to 100,523.35, 150,789.21 and 33,970.24 is: 50,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523.35 : 150,789.21 = 33,970.24 : x
  2. Step 2: Convert to fraction form
    100,523.35/150,789.21 = 33,970.24/x
  3. Step 3: Cross multiply
    100,523.35x = 150,789.21 × 33,970.24
  4. Step 4: Simplify right side
    100,523.35x = 5,122,345,653.11
  5. Step 5: Solve for x
    x = 5,122,345,653.11/100,523.35
  6. Step 6: Final answer
    x = 50,956.77

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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.