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Finding the Fourth Proportional to 36,770.88, 55,149 and 10,468.56

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Solution

The fourth proportional to 36,770.88, 55,149 and 10,468.56 is: 15,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770.88 : 55,149 = 10,468.56 : x
  2. Step 2: Convert to fraction form
    36,770.88/55,149 = 10,468.56/x
  3. Step 3: Cross multiply
    36,770.88x = 55,149 × 10,468.56
  4. Step 4: Simplify right side
    36,770.88x = 577,330,615.44
  5. Step 5: Solve for x
    x = 577,330,615.44/36,770.88
  6. Step 6: Final answer
    x = 15,700.76

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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.