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Finding the Fourth Proportional to 105,871.44, 158,788.80 and 34,794.54

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Solution

The fourth proportional to 105,871.44, 158,788.80 and 34,794.54 is: 52,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871.44 : 158,788.80 = 34,794.54 : x
  2. Step 2: Convert to fraction form
    105,871.44/158,788.80 = 34,794.54/x
  3. Step 3: Cross multiply
    105,871.44x = 158,788.80 × 34,794.54
  4. Step 4: Simplify right side
    105,871.44x = 5,524,983,253.15
  5. Step 5: Solve for x
    x = 5,524,983,253.15/105,871.44
  6. Step 6: Final answer
    x = 52,185.78

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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.