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Finding the Fourth Proportional to 31,111.40, 46,661.70 and 11,379.80

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Solution

The fourth proportional to 31,111.40, 46,661.70 and 11,379.80 is: 17,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.40 : 46,661.70 = 11,379.80 : x
  2. Step 2: Convert to fraction form
    31,111.40/46,661.70 = 11,379.80/x
  3. Step 3: Cross multiply
    31,111.40x = 46,661.70 × 11,379.80
  4. Step 4: Simplify right side
    31,111.40x = 531,000,813.66
  5. Step 5: Solve for x
    x = 531,000,813.66/31,111.40
  6. Step 6: Final answer
    x = 17,067.72

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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.