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Finding the Fourth Proportional to 36,151, 54,226.50 and 13,974.28

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Solution

The fourth proportional to 36,151, 54,226.50 and 13,974.28 is: 20,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,151 : 54,226.50 = 13,974.28 : x
  2. Step 2: Convert to fraction form
    36,151/54,226.50 = 13,974.28/x
  3. Step 3: Cross multiply
    36,151x = 54,226.50 × 13,974.28
  4. Step 4: Simplify right side
    36,151x = 757,776,294.42
  5. Step 5: Solve for x
    x = 757,776,294.42/36,151
  6. Step 6: Final answer
    x = 20,961.42

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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.