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Finding the Fourth Proportional to 81,649.14, 122,520.96 and 34,260

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Solution

The fourth proportional to 81,649.14, 122,520.96 and 34,260 is: 51,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.14 : 122,520.96 = 34,260 : x
  2. Step 2: Convert to fraction form
    81,649.14/122,520.96 = 34,260/x
  3. Step 3: Cross multiply
    81,649.14x = 122,520.96 × 34,260
  4. Step 4: Simplify right side
    81,649.14x = 4,197,568,089.60
  5. Step 5: Solve for x
    x = 4,197,568,089.60/81,649.14
  6. Step 6: Final answer
    x = 51,409.83

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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.