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Finding the Fourth Proportional to 100,405.13, 150,608.21 and 33,845.83

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Solution

The fourth proportional to 100,405.13, 150,608.21 and 33,845.83 is: 50,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.13 : 150,608.21 = 33,845.83 : x
  2. Step 2: Convert to fraction form
    100,405.13/150,608.21 = 33,845.83/x
  3. Step 3: Cross multiply
    100,405.13x = 150,608.21 × 33,845.83
  4. Step 4: Simplify right side
    100,405.13x = 5,097,459,326.51
  5. Step 5: Solve for x
    x = 5,097,459,326.51/100,405.13
  6. Step 6: Final answer
    x = 50,768.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.