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Finding the Fourth Proportional to 30,266, 45,399 and 8,378

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Solution

The fourth proportional to 30,266, 45,399 and 8,378 is: 12,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266 : 45,399 = 8,378 : x
  2. Step 2: Convert to fraction form
    30,266/45,399 = 8,378/x
  3. Step 3: Cross multiply
    30,266x = 45,399 × 8,378
  4. Step 4: Simplify right side
    30,266x = 380,352,822
  5. Step 5: Solve for x
    x = 380,352,822/30,266
  6. Step 6: Final answer
    x = 12,567

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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.