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Finding the Fourth Proportional to 31,186.11, 46,773.53 and 8,994.03

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Solution

The fourth proportional to 31,186.11, 46,773.53 and 8,994.03 is: 13,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.11 : 46,773.53 = 8,994.03 : x
  2. Step 2: Convert to fraction form
    31,186.11/46,773.53 = 8,994.03/x
  3. Step 3: Cross multiply
    31,186.11x = 46,773.53 × 8,994.03
  4. Step 4: Simplify right side
    31,186.11x = 420,682,487.06
  5. Step 5: Solve for x
    x = 420,682,487.06/31,186.11
  6. Step 6: Final answer
    x = 13,489.42

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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.