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Finding the Fourth Proportional to 36,447.87, 54,577 and 34,231.44

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Solution

The fourth proportional to 36,447.87, 54,577 and 34,231.44 is: 51,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,447.87 : 54,577 = 34,231.44 : x
  2. Step 2: Convert to fraction form
    36,447.87/54,577 = 34,231.44/x
  3. Step 3: Cross multiply
    36,447.87x = 54,577 × 34,231.44
  4. Step 4: Simplify right side
    36,447.87x = 1,868,249,300.88
  5. Step 5: Solve for x
    x = 1,868,249,300.88/36,447.87
  6. Step 6: Final answer
    x = 51,258.12

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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.