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Finding the Fourth Proportional to 66,106, 91,226.28 and 36,298

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Solution

The fourth proportional to 66,106, 91,226.28 and 36,298 is: 50,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106 : 91,226.28 = 36,298 : x
  2. Step 2: Convert to fraction form
    66,106/91,226.28 = 36,298/x
  3. Step 3: Cross multiply
    66,106x = 91,226.28 × 36,298
  4. Step 4: Simplify right side
    66,106x = 3,311,331,511.44
  5. Step 5: Solve for x
    x = 3,311,331,511.44/66,106
  6. Step 6: Final answer
    x = 50,091.24

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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.