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Finding the Fourth Proportional to 30,933.26, 46,406.72 and 13,162.97

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Solution

The fourth proportional to 30,933.26, 46,406.72 and 13,162.97 is: 19,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.26 : 46,406.72 = 13,162.97 : x
  2. Step 2: Convert to fraction form
    30,933.26/46,406.72 = 13,162.97/x
  3. Step 3: Cross multiply
    30,933.26x = 46,406.72 × 13,162.97
  4. Step 4: Simplify right side
    30,933.26x = 610,850,197.34
  5. Step 5: Solve for x
    x = 610,850,197.34/30,933.26
  6. Step 6: Final answer
    x = 19,747.36

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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.