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Finding the Fourth Proportional to 31,161.90, 46,735.97 and 8,970.33

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Solution

The fourth proportional to 31,161.90, 46,735.97 and 8,970.33 is: 13,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.90 : 46,735.97 = 8,970.33 : x
  2. Step 2: Convert to fraction form
    31,161.90/46,735.97 = 8,970.33/x
  3. Step 3: Cross multiply
    31,161.90x = 46,735.97 × 8,970.33
  4. Step 4: Simplify right side
    31,161.90x = 419,237,028.92
  5. Step 5: Solve for x
    x = 419,237,028.92/31,161.90
  6. Step 6: Final answer
    x = 13,453.51

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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.