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Finding the Fourth Proportional to 50,633.64, 75,949.92 and 13,697.64

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Solution

The fourth proportional to 50,633.64, 75,949.92 and 13,697.64 is: 20,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,633.64 : 75,949.92 = 13,697.64 : x
  2. Step 2: Convert to fraction form
    50,633.64/75,949.92 = 13,697.64/x
  3. Step 3: Cross multiply
    50,633.64x = 75,949.92 × 13,697.64
  4. Step 4: Simplify right side
    50,633.64x = 1,040,334,662.19
  5. Step 5: Solve for x
    x = 1,040,334,662.19/50,633.64
  6. Step 6: Final answer
    x = 20,546.31

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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.