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Finding the Fourth Proportional to 50,949.18, 76,383.74 and 32,189.74

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Solution

The fourth proportional to 50,949.18, 76,383.74 and 32,189.74 is: 48,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,949.18 : 76,383.74 = 32,189.74 : x
  2. Step 2: Convert to fraction form
    50,949.18/76,383.74 = 32,189.74/x
  3. Step 3: Cross multiply
    50,949.18x = 76,383.74 × 32,189.74
  4. Step 4: Simplify right side
    50,949.18x = 2,458,772,620.34
  5. Step 5: Solve for x
    x = 2,458,772,620.34/50,949.18
  6. Step 6: Final answer
    x = 48,259.32

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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.