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Finding the Fourth Proportional to 30,968.27, 46,453.01 and 9,912.32

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Solution

The fourth proportional to 30,968.27, 46,453.01 and 9,912.32 is: 14,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.27 : 46,453.01 = 9,912.32 : x
  2. Step 2: Convert to fraction form
    30,968.27/46,453.01 = 9,912.32/x
  3. Step 3: Cross multiply
    30,968.27x = 46,453.01 × 9,912.32
  4. Step 4: Simplify right side
    30,968.27x = 460,456,818.26
  5. Step 5: Solve for x
    x = 460,456,818.26/30,968.27
  6. Step 6: Final answer
    x = 14,868.67

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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.