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Finding the Fourth Proportional to 126,524.14, 189,786.24 and 33,029.08

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Solution

The fourth proportional to 126,524.14, 189,786.24 and 33,029.08 is: 49,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,524.14 : 189,786.24 = 33,029.08 : x
  2. Step 2: Convert to fraction form
    126,524.14/189,786.24 = 33,029.08/x
  3. Step 3: Cross multiply
    126,524.14x = 189,786.24 × 33,029.08
  4. Step 4: Simplify right side
    126,524.14x = 6,268,464,903.86
  5. Step 5: Solve for x
    x = 6,268,464,903.86/126,524.14
  6. Step 6: Final answer
    x = 49,543.63

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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.