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Finding the Fourth Proportional to 50,788.30, 76,195.41 and 32,200.42

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Solution

The fourth proportional to 50,788.30, 76,195.41 and 32,200.42 is: 48,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,788.30 : 76,195.41 = 32,200.42 : x
  2. Step 2: Convert to fraction form
    50,788.30/76,195.41 = 32,200.42/x
  3. Step 3: Cross multiply
    50,788.30x = 76,195.41 × 32,200.42
  4. Step 4: Simplify right side
    50,788.30x = 2,453,524,013.58
  5. Step 5: Solve for x
    x = 2,453,524,013.58/50,788.30
  6. Step 6: Final answer
    x = 48,308.85

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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.