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Finding the Fourth Proportional to 50,132.42, 75,195.86 and 16,849.05

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Solution

The fourth proportional to 50,132.42, 75,195.86 and 16,849.05 is: 25,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,132.42 : 75,195.86 = 16,849.05 : x
  2. Step 2: Convert to fraction form
    50,132.42/75,195.86 = 16,849.05/x
  3. Step 3: Cross multiply
    50,132.42x = 75,195.86 × 16,849.05
  4. Step 4: Simplify right side
    50,132.42x = 1,266,978,533.48
  5. Step 5: Solve for x
    x = 1,266,978,533.48/50,132.42
  6. Step 6: Final answer
    x = 25,272.64

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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.