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Finding the Fourth Proportional to 36,251.46, 54,374.76 and 9,954

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Solution

The fourth proportional to 36,251.46, 54,374.76 and 9,954 is: 14,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,251.46 : 54,374.76 = 9,954 : x
  2. Step 2: Convert to fraction form
    36,251.46/54,374.76 = 9,954/x
  3. Step 3: Cross multiply
    36,251.46x = 54,374.76 × 9,954
  4. Step 4: Simplify right side
    36,251.46x = 541,246,361.04
  5. Step 5: Solve for x
    x = 541,246,361.04/36,251.46
  6. Step 6: Final answer
    x = 14,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.