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Finding the Fourth Proportional to 36,241.46, 54,359.76 and 9,944

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Solution

The fourth proportional to 36,241.46, 54,359.76 and 9,944 is: 14,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,241.46 : 54,359.76 = 9,944 : x
  2. Step 2: Convert to fraction form
    36,241.46/54,359.76 = 9,944/x
  3. Step 3: Cross multiply
    36,241.46x = 54,359.76 × 9,944
  4. Step 4: Simplify right side
    36,241.46x = 540,553,453.44
  5. Step 5: Solve for x
    x = 540,553,453.44/36,241.46
  6. Step 6: Final answer
    x = 14,915.33

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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.