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Finding the Fourth Proportional to 31,186.38, 46,786.50 and 8,998.02

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Solution

The fourth proportional to 31,186.38, 46,786.50 and 8,998.02 is: 13,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.38 : 46,786.50 = 8,998.02 : x
  2. Step 2: Convert to fraction form
    31,186.38/46,786.50 = 8,998.02/x
  3. Step 3: Cross multiply
    31,186.38x = 46,786.50 × 8,998.02
  4. Step 4: Simplify right side
    31,186.38x = 420,985,862.73
  5. Step 5: Solve for x
    x = 420,985,862.73/31,186.38
  6. Step 6: Final answer
    x = 13,499.03

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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.