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Finding the Fourth Proportional to 50,550.84, 75,670.74 and 32,982.84

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Solution

The fourth proportional to 50,550.84, 75,670.74 and 32,982.84 is: 49,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,550.84 : 75,670.74 = 32,982.84 : x
  2. Step 2: Convert to fraction form
    50,550.84/75,670.74 = 32,982.84/x
  3. Step 3: Cross multiply
    50,550.84x = 75,670.74 × 32,982.84
  4. Step 4: Simplify right side
    50,550.84x = 2,495,835,910.10
  5. Step 5: Solve for x
    x = 2,495,835,910.10/50,550.84
  6. Step 6: Final answer
    x = 49,372.79

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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.