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Finding the Fourth Proportional to 33,923.21, 46,810.50 and 19,578.21

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Solution

The fourth proportional to 33,923.21, 46,810.50 and 19,578.21 is: 27,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.21 : 46,810.50 = 19,578.21 : x
  2. Step 2: Convert to fraction form
    33,923.21/46,810.50 = 19,578.21/x
  3. Step 3: Cross multiply
    33,923.21x = 46,810.50 × 19,578.21
  4. Step 4: Simplify right side
    33,923.21x = 916,465,605.31
  5. Step 5: Solve for x
    x = 916,465,605.31/33,923.21
  6. Step 6: Final answer
    x = 27,015.88

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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.