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Finding the Fourth Proportional to 30,223.21, 41,694.59 and 20,141.81

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Solution

The fourth proportional to 30,223.21, 41,694.59 and 20,141.81 is: 27,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.21 : 41,694.59 = 20,141.81 : x
  2. Step 2: Convert to fraction form
    30,223.21/41,694.59 = 20,141.81/x
  3. Step 3: Cross multiply
    30,223.21x = 41,694.59 × 20,141.81
  4. Step 4: Simplify right side
    30,223.21x = 839,804,409.10
  5. Step 5: Solve for x
    x = 839,804,409.10/30,223.21
  6. Step 6: Final answer
    x = 27,786.74

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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.