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Finding the Fourth Proportional to 30,936.48, 46,407.15 and 12,215.22

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Solution

The fourth proportional to 30,936.48, 46,407.15 and 12,215.22 is: 18,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.48 : 46,407.15 = 12,215.22 : x
  2. Step 2: Convert to fraction form
    30,936.48/46,407.15 = 12,215.22/x
  3. Step 3: Cross multiply
    30,936.48x = 46,407.15 × 12,215.22
  4. Step 4: Simplify right side
    30,936.48x = 566,873,546.82
  5. Step 5: Solve for x
    x = 566,873,546.82/30,936.48
  6. Step 6: Final answer
    x = 18,323.79

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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.