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Finding the Fourth Proportional to 33,506.40, 46,238.49 and 18,399

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Solution

The fourth proportional to 33,506.40, 46,238.49 and 18,399 is: 25,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.40 : 46,238.49 = 18,399 : x
  2. Step 2: Convert to fraction form
    33,506.40/46,238.49 = 18,399/x
  3. Step 3: Cross multiply
    33,506.40x = 46,238.49 × 18,399
  4. Step 4: Simplify right side
    33,506.40x = 850,741,977.51
  5. Step 5: Solve for x
    x = 850,741,977.51/33,506.40
  6. Step 6: Final answer
    x = 25,390.43

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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.