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Finding the Fourth Proportional to 100,342.42, 150,494.46 and 50,408.65

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Solution

The fourth proportional to 100,342.42, 150,494.46 and 50,408.65 is: 75,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.42 : 150,494.46 = 50,408.65 : x
  2. Step 2: Convert to fraction form
    100,342.42/150,494.46 = 50,408.65/x
  3. Step 3: Cross multiply
    100,342.42x = 150,494.46 × 50,408.65
  4. Step 4: Simplify right side
    100,342.42x = 7,586,222,560.16
  5. Step 5: Solve for x
    x = 7,586,222,560.16/100,342.42
  6. Step 6: Final answer
    x = 75,603.35

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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.