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Finding the Fourth Proportional to 105,494.54, 158,029.79 and 49,257.05

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Solution

The fourth proportional to 105,494.54, 158,029.79 and 49,257.05 is: 73,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.54 : 158,029.79 = 49,257.05 : x
  2. Step 2: Convert to fraction form
    105,494.54/158,029.79 = 49,257.05/x
  3. Step 3: Cross multiply
    105,494.54x = 158,029.79 × 49,257.05
  4. Step 4: Simplify right side
    105,494.54x = 7,784,080,231.09
  5. Step 5: Solve for x
    x = 7,784,080,231.09/105,494.54
  6. Step 6: Final answer
    x = 73,786.57

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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.