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Finding the Fourth Proportional to 38,109.40, 52,578 and 22,190.48

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Solution

The fourth proportional to 38,109.40, 52,578 and 22,190.48 is: 30,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109.40 : 52,578 = 22,190.48 : x
  2. Step 2: Convert to fraction form
    38,109.40/52,578 = 22,190.48/x
  3. Step 3: Cross multiply
    38,109.40x = 52,578 × 22,190.48
  4. Step 4: Simplify right side
    38,109.40x = 1,166,731,057.44
  5. Step 5: Solve for x
    x = 1,166,731,057.44/38,109.40
  6. Step 6: Final answer
    x = 30,615.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.