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Finding the Fourth Proportional to 30,912.99, 46,338.32 and 12,185.77

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Solution

The fourth proportional to 30,912.99, 46,338.32 and 12,185.77 is: 18,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.99 : 46,338.32 = 12,185.77 : x
  2. Step 2: Convert to fraction form
    30,912.99/46,338.32 = 12,185.77/x
  3. Step 3: Cross multiply
    30,912.99x = 46,338.32 × 12,185.77
  4. Step 4: Simplify right side
    30,912.99x = 564,668,106.70
  5. Step 5: Solve for x
    x = 564,668,106.70/30,912.99
  6. Step 6: Final answer
    x = 18,266.37

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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.