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Finding the Fourth Proportional to 30,936.36, 46,409.67 and 10,155

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Solution

The fourth proportional to 30,936.36, 46,409.67 and 10,155 is: 15,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.36 : 46,409.67 = 10,155 : x
  2. Step 2: Convert to fraction form
    30,936.36/46,409.67 = 10,155/x
  3. Step 3: Cross multiply
    30,936.36x = 46,409.67 × 10,155
  4. Step 4: Simplify right side
    30,936.36x = 471,290,198.85
  5. Step 5: Solve for x
    x = 471,290,198.85/30,936.36
  6. Step 6: Final answer
    x = 15,234.18

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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.