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Finding the Fourth Proportional to 31,189.27, 46,793.90 and 11,185.29

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Solution

The fourth proportional to 31,189.27, 46,793.90 and 11,185.29 is: 16,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.27 : 46,793.90 = 11,185.29 : x
  2. Step 2: Convert to fraction form
    31,189.27/46,793.90 = 11,185.29/x
  3. Step 3: Cross multiply
    31,189.27x = 46,793.90 × 11,185.29
  4. Step 4: Simplify right side
    31,189.27x = 523,403,341.73
  5. Step 5: Solve for x
    x = 523,403,341.73/31,189.27
  6. Step 6: Final answer
    x = 16,781.52

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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.