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Finding the Fourth Proportional to 30,891.75, 42,630.72 and 16,744.65

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Solution

The fourth proportional to 30,891.75, 42,630.72 and 16,744.65 is: 23,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.75 : 42,630.72 = 16,744.65 : x
  2. Step 2: Convert to fraction form
    30,891.75/42,630.72 = 16,744.65/x
  3. Step 3: Cross multiply
    30,891.75x = 42,630.72 × 16,744.65
  4. Step 4: Simplify right side
    30,891.75x = 713,836,485.65
  5. Step 5: Solve for x
    x = 713,836,485.65/30,891.75
  6. Step 6: Final answer
    x = 23,107.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.