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Finding the Fourth Proportional to 30,765.15, 42,481.13 and 19,452.96

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Solution

The fourth proportional to 30,765.15, 42,481.13 and 19,452.96 is: 26,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.15 : 42,481.13 = 19,452.96 : x
  2. Step 2: Convert to fraction form
    30,765.15/42,481.13 = 19,452.96/x
  3. Step 3: Cross multiply
    30,765.15x = 42,481.13 × 19,452.96
  4. Step 4: Simplify right side
    30,765.15x = 826,383,625.38
  5. Step 5: Solve for x
    x = 826,383,625.38/30,765.15
  6. Step 6: Final answer
    x = 26,861.03

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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.