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Finding the Fourth Proportional to 50,738.40, 76,107.60 and 24,494.40

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Solution

The fourth proportional to 50,738.40, 76,107.60 and 24,494.40 is: 36,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.40 : 76,107.60 = 24,494.40 : x
  2. Step 2: Convert to fraction form
    50,738.40/76,107.60 = 24,494.40/x
  3. Step 3: Cross multiply
    50,738.40x = 76,107.60 × 24,494.40
  4. Step 4: Simplify right side
    50,738.40x = 1,864,209,997.44
  5. Step 5: Solve for x
    x = 1,864,209,997.44/50,738.40
  6. Step 6: Final answer
    x = 36,741.60

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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.