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Finding the Fourth Proportional to 31,950.65, 44,077.16 and 19,993.23

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Solution

The fourth proportional to 31,950.65, 44,077.16 and 19,993.23 is: 27,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.65 : 44,077.16 = 19,993.23 : x
  2. Step 2: Convert to fraction form
    31,950.65/44,077.16 = 19,993.23/x
  3. Step 3: Cross multiply
    31,950.65x = 44,077.16 × 19,993.23
  4. Step 4: Simplify right side
    31,950.65x = 881,244,847.61
  5. Step 5: Solve for x
    x = 881,244,847.61/31,950.65
  6. Step 6: Final answer
    x = 27,581.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.