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Finding the Fourth Proportional to 30,556.82, 45,841 and 12,090.26

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Solution

The fourth proportional to 30,556.82, 45,841 and 12,090.26 is: 18,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.82 : 45,841 = 12,090.26 : x
  2. Step 2: Convert to fraction form
    30,556.82/45,841 = 12,090.26/x
  3. Step 3: Cross multiply
    30,556.82x = 45,841 × 12,090.26
  4. Step 4: Simplify right side
    30,556.82x = 554,229,608.66
  5. Step 5: Solve for x
    x = 554,229,608.66/30,556.82
  6. Step 6: Final answer
    x = 18,137.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.