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Finding the Fourth Proportional to 30,540.42, 45,796.14 and 11,829.22

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Solution

The fourth proportional to 30,540.42, 45,796.14 and 11,829.22 is: 17,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.42 : 45,796.14 = 11,829.22 : x
  2. Step 2: Convert to fraction form
    30,540.42/45,796.14 = 11,829.22/x
  3. Step 3: Cross multiply
    30,540.42x = 45,796.14 × 11,829.22
  4. Step 4: Simplify right side
    30,540.42x = 541,732,615.21
  5. Step 5: Solve for x
    x = 541,732,615.21/30,540.42
  6. Step 6: Final answer
    x = 17,738.22

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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.