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Finding the Fourth Proportional to 30,950.97, 46,394.67 and 12,223.41

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Solution

The fourth proportional to 30,950.97, 46,394.67 and 12,223.41 is: 18,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.97 : 46,394.67 = 12,223.41 : x
  2. Step 2: Convert to fraction form
    30,950.97/46,394.67 = 12,223.41/x
  3. Step 3: Cross multiply
    30,950.97x = 46,394.67 × 12,223.41
  4. Step 4: Simplify right side
    30,950.97x = 567,101,073.22
  5. Step 5: Solve for x
    x = 567,101,073.22/30,950.97
  6. Step 6: Final answer
    x = 18,322.56

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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.