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Finding the Fourth Proportional to 36,018, 54,027.24 and 11,394

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Solution

The fourth proportional to 36,018, 54,027.24 and 11,394 is: 17,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,018 : 54,027.24 = 11,394 : x
  2. Step 2: Convert to fraction form
    36,018/54,027.24 = 11,394/x
  3. Step 3: Cross multiply
    36,018x = 54,027.24 × 11,394
  4. Step 4: Simplify right side
    36,018x = 615,586,372.56
  5. Step 5: Solve for x
    x = 615,586,372.56/36,018
  6. Step 6: Final answer
    x = 17,091.08

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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.