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Finding the Fourth Proportional to 36,473.09, 54,709.61 and 11,849.09

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Solution

The fourth proportional to 36,473.09, 54,709.61 and 11,849.09 is: 17,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473.09 : 54,709.61 = 11,849.09 : x
  2. Step 2: Convert to fraction form
    36,473.09/54,709.61 = 11,849.09/x
  3. Step 3: Cross multiply
    36,473.09x = 54,709.61 × 11,849.09
  4. Step 4: Simplify right side
    36,473.09x = 648,258,759.96
  5. Step 5: Solve for x
    x = 648,258,759.96/36,473.09
  6. Step 6: Final answer
    x = 17,773.62

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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.