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Finding the Fourth Proportional to 36,420, 54,617.80 and 14,227.60

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Solution

The fourth proportional to 36,420, 54,617.80 and 14,227.60 is: 21,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420 : 54,617.80 = 14,227.60 : x
  2. Step 2: Convert to fraction form
    36,420/54,617.80 = 14,227.60/x
  3. Step 3: Cross multiply
    36,420x = 54,617.80 × 14,227.60
  4. Step 4: Simplify right side
    36,420x = 777,080,211.28
  5. Step 5: Solve for x
    x = 777,080,211.28/36,420
  6. Step 6: Final answer
    x = 21,336.63

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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.