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Finding the Fourth Proportional to 30,982.96, 46,475.34 and 7,609.39

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Solution

The fourth proportional to 30,982.96, 46,475.34 and 7,609.39 is: 11,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.96 : 46,475.34 = 7,609.39 : x
  2. Step 2: Convert to fraction form
    30,982.96/46,475.34 = 7,609.39/x
  3. Step 3: Cross multiply
    30,982.96x = 46,475.34 × 7,609.39
  4. Step 4: Simplify right side
    30,982.96x = 353,648,987.44
  5. Step 5: Solve for x
    x = 353,648,987.44/30,982.96
  6. Step 6: Final answer
    x = 11,414.31

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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.