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Finding the Fourth Proportional to 30,936.30, 46,409.74 and 12,206.56

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Solution

The fourth proportional to 30,936.30, 46,409.74 and 12,206.56 is: 18,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.30 : 46,409.74 = 12,206.56 : x
  2. Step 2: Convert to fraction form
    30,936.30/46,409.74 = 12,206.56/x
  3. Step 3: Cross multiply
    30,936.30x = 46,409.74 × 12,206.56
  4. Step 4: Simplify right side
    30,936.30x = 566,503,275.89
  5. Step 5: Solve for x
    x = 566,503,275.89/30,936.30
  6. Step 6: Final answer
    x = 18,311.93

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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.