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Finding the Fourth Proportional to 31,305.33, 46,958.09 and 9,119.25

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Solution

The fourth proportional to 31,305.33, 46,958.09 and 9,119.25 is: 13,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.33 : 46,958.09 = 9,119.25 : x
  2. Step 2: Convert to fraction form
    31,305.33/46,958.09 = 9,119.25/x
  3. Step 3: Cross multiply
    31,305.33x = 46,958.09 × 9,119.25
  4. Step 4: Simplify right side
    31,305.33x = 428,222,562.23
  5. Step 5: Solve for x
    x = 428,222,562.23/31,305.33
  6. Step 6: Final answer
    x = 13,678.90

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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.