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Finding the Fourth Proportional to 31,991.15, 47,993.61 and 9,806.06

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Solution

The fourth proportional to 31,991.15, 47,993.61 and 9,806.06 is: 14,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.15 : 47,993.61 = 9,806.06 : x
  2. Step 2: Convert to fraction form
    31,991.15/47,993.61 = 9,806.06/x
  3. Step 3: Cross multiply
    31,991.15x = 47,993.61 × 9,806.06
  4. Step 4: Simplify right side
    31,991.15x = 470,628,376.03
  5. Step 5: Solve for x
    x = 470,628,376.03/31,991.15
  6. Step 6: Final answer
    x = 14,711.20

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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.