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Finding the Fourth Proportional to 31,189.11, 46,777.98 and 8,997

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Solution

The fourth proportional to 31,189.11, 46,777.98 and 8,997 is: 13,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.11 : 46,777.98 = 8,997 : x
  2. Step 2: Convert to fraction form
    31,189.11/46,777.98 = 8,997/x
  3. Step 3: Cross multiply
    31,189.11x = 46,777.98 × 8,997
  4. Step 4: Simplify right side
    31,189.11x = 420,861,486.06
  5. Step 5: Solve for x
    x = 420,861,486.06/31,189.11
  6. Step 6: Final answer
    x = 13,493.86

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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.