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Finding the Fourth Proportional to 34,149.96, 47,138.22 and 20,002.50

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Solution

The fourth proportional to 34,149.96, 47,138.22 and 20,002.50 is: 27,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.96 : 47,138.22 = 20,002.50 : x
  2. Step 2: Convert to fraction form
    34,149.96/47,138.22 = 20,002.50/x
  3. Step 3: Cross multiply
    34,149.96x = 47,138.22 × 20,002.50
  4. Step 4: Simplify right side
    34,149.96x = 942,882,245.55
  5. Step 5: Solve for x
    x = 942,882,245.55/34,149.96
  6. Step 6: Final answer
    x = 27,610.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.