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Finding the Fourth Proportional to 33,952.14, 46,853.94 and 19,802.25

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Solution

The fourth proportional to 33,952.14, 46,853.94 and 19,802.25 is: 27,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952.14 : 46,853.94 = 19,802.25 : x
  2. Step 2: Convert to fraction form
    33,952.14/46,853.94 = 19,802.25/x
  3. Step 3: Cross multiply
    33,952.14x = 46,853.94 × 19,802.25
  4. Step 4: Simplify right side
    33,952.14x = 927,813,433.37
  5. Step 5: Solve for x
    x = 927,813,433.37/33,952.14
  6. Step 6: Final answer
    x = 27,327.10

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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.