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Finding the Fourth Proportional to 50,891.34, 76,314.72 and 20,884.98

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Solution

The fourth proportional to 50,891.34, 76,314.72 and 20,884.98 is: 31,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.34 : 76,314.72 = 20,884.98 : x
  2. Step 2: Convert to fraction form
    50,891.34/76,314.72 = 20,884.98/x
  3. Step 3: Cross multiply
    50,891.34x = 76,314.72 × 20,884.98
  4. Step 4: Simplify right side
    50,891.34x = 1,593,831,400.91
  5. Step 5: Solve for x
    x = 1,593,831,400.91/50,891.34
  6. Step 6: Final answer
    x = 31,318.32

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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.