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Finding the Fourth Proportional to 36,109.60, 54,185.10 and 19,469.56

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Solution

The fourth proportional to 36,109.60, 54,185.10 and 19,469.56 is: 29,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,109.60 : 54,185.10 = 19,469.56 : x
  2. Step 2: Convert to fraction form
    36,109.60/54,185.10 = 19,469.56/x
  3. Step 3: Cross multiply
    36,109.60x = 54,185.10 × 19,469.56
  4. Step 4: Simplify right side
    36,109.60x = 1,054,960,055.56
  5. Step 5: Solve for x
    x = 1,054,960,055.56/36,109.60
  6. Step 6: Final answer
    x = 29,215.50

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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.