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Finding the Fourth Proportional to 30,711.65, 46,067.32 and 11,993.58

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Solution

The fourth proportional to 30,711.65, 46,067.32 and 11,993.58 is: 17,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.65 : 46,067.32 = 11,993.58 : x
  2. Step 2: Convert to fraction form
    30,711.65/46,067.32 = 11,993.58/x
  3. Step 3: Cross multiply
    30,711.65x = 46,067.32 × 11,993.58
  4. Step 4: Simplify right side
    30,711.65x = 552,512,208.09
  5. Step 5: Solve for x
    x = 552,512,208.09/30,711.65
  6. Step 6: Final answer
    x = 17,990.32

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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.