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Finding the Fourth Proportional to 30,769.40, 46,250.44 and 20,306.65

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Solution

The fourth proportional to 30,769.40, 46,250.44 and 20,306.65 is: 30,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.40 : 46,250.44 = 20,306.65 : x
  2. Step 2: Convert to fraction form
    30,769.40/46,250.44 = 20,306.65/x
  3. Step 3: Cross multiply
    30,769.40x = 46,250.44 × 20,306.65
  4. Step 4: Simplify right side
    30,769.40x = 939,191,497.43
  5. Step 5: Solve for x
    x = 939,191,497.43/30,769.40
  6. Step 6: Final answer
    x = 30,523.56

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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.