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Finding the Fourth Proportional to 33,853.40, 46,711.46 and 19,710.84

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Solution

The fourth proportional to 33,853.40, 46,711.46 and 19,710.84 is: 27,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,853.40 : 46,711.46 = 19,710.84 : x
  2. Step 2: Convert to fraction form
    33,853.40/46,711.46 = 19,710.84/x
  3. Step 3: Cross multiply
    33,853.40x = 46,711.46 × 19,710.84
  4. Step 4: Simplify right side
    33,853.40x = 920,722,114.23
  5. Step 5: Solve for x
    x = 920,722,114.23/33,853.40
  6. Step 6: Final answer
    x = 27,197.33

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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.