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Finding the Fourth Proportional to 30,194.40, 45,342.36 and 19,682.16

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Solution

The fourth proportional to 30,194.40, 45,342.36 and 19,682.16 is: 29,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.40 : 45,342.36 = 19,682.16 : x
  2. Step 2: Convert to fraction form
    30,194.40/45,342.36 = 19,682.16/x
  3. Step 3: Cross multiply
    30,194.40x = 45,342.36 × 19,682.16
  4. Step 4: Simplify right side
    30,194.40x = 892,435,584.30
  5. Step 5: Solve for x
    x = 892,435,584.30/30,194.40
  6. Step 6: Final answer
    x = 29,556.33

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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.