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Finding the Fourth Proportional to 99,734, 137,632.94 and 55,022

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Solution

The fourth proportional to 99,734, 137,632.94 and 55,022 is: 75,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,734 : 137,632.94 = 55,022 : x
  2. Step 2: Convert to fraction form
    99,734/137,632.94 = 55,022/x
  3. Step 3: Cross multiply
    99,734x = 137,632.94 × 55,022
  4. Step 4: Simplify right side
    99,734x = 7,572,839,624.68
  5. Step 5: Solve for x
    x = 7,572,839,624.68/99,734
  6. Step 6: Final answer
    x = 75,930.37

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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.