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Finding the Fourth Proportional to 31,878.41, 43,993.82 and 18,450.23

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Solution

The fourth proportional to 31,878.41, 43,993.82 and 18,450.23 is: 25,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.41 : 43,993.82 = 18,450.23 : x
  2. Step 2: Convert to fraction form
    31,878.41/43,993.82 = 18,450.23/x
  3. Step 3: Cross multiply
    31,878.41x = 43,993.82 × 18,450.23
  4. Step 4: Simplify right side
    31,878.41x = 811,695,923.74
  5. Step 5: Solve for x
    x = 811,695,923.74/31,878.41
  6. Step 6: Final answer
    x = 25,462.25

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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.