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Finding the Fourth Proportional to 75,788.15, 113,682.22 and 33,658.32

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Solution

The fourth proportional to 75,788.15, 113,682.22 and 33,658.32 is: 50,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788.15 : 113,682.22 = 33,658.32 : x
  2. Step 2: Convert to fraction form
    75,788.15/113,682.22 = 33,658.32/x
  3. Step 3: Cross multiply
    75,788.15x = 113,682.22 × 33,658.32
  4. Step 4: Simplify right side
    75,788.15x = 3,826,352,539.07
  5. Step 5: Solve for x
    x = 3,826,352,539.07/75,788.15
  6. Step 6: Final answer
    x = 50,487.48

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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.