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Finding the Fourth Proportional to 81,097.17, 121,649.12 and 27,825.77

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Solution

The fourth proportional to 81,097.17, 121,649.12 and 27,825.77 is: 41,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097.17 : 121,649.12 = 27,825.77 : x
  2. Step 2: Convert to fraction form
    81,097.17/121,649.12 = 27,825.77/x
  3. Step 3: Cross multiply
    81,097.17x = 121,649.12 × 27,825.77
  4. Step 4: Simplify right side
    81,097.17x = 3,384,980,433.82
  5. Step 5: Solve for x
    x = 3,384,980,433.82/81,097.17
  6. Step 6: Final answer
    x = 41,739.81

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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.