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Finding the Fourth Proportional to 39,182.84, 54,056.94 and 22,406.84

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Solution

The fourth proportional to 39,182.84, 54,056.94 and 22,406.84 is: 30,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182.84 : 54,056.94 = 22,406.84 : x
  2. Step 2: Convert to fraction form
    39,182.84/54,056.94 = 22,406.84/x
  3. Step 3: Cross multiply
    39,182.84x = 54,056.94 × 22,406.84
  4. Step 4: Simplify right side
    39,182.84x = 1,211,245,205.47
  5. Step 5: Solve for x
    x = 1,211,245,205.47/39,182.84
  6. Step 6: Final answer
    x = 30,912.64

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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.