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Finding the Fourth Proportional to 30,149.22, 45,217.64 and 11,422.80

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Solution

The fourth proportional to 30,149.22, 45,217.64 and 11,422.80 is: 17,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.22 : 45,217.64 = 11,422.80 : x
  2. Step 2: Convert to fraction form
    30,149.22/45,217.64 = 11,422.80/x
  3. Step 3: Cross multiply
    30,149.22x = 45,217.64 × 11,422.80
  4. Step 4: Simplify right side
    30,149.22x = 516,512,001.08
  5. Step 5: Solve for x
    x = 516,512,001.08/30,149.22
  6. Step 6: Final answer
    x = 17,131.85

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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.