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Finding the Fourth Proportional to 33,781.25, 46,629.06 and 21,206

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Solution

The fourth proportional to 33,781.25, 46,629.06 and 21,206 is: 29,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.25 : 46,629.06 = 21,206 : x
  2. Step 2: Convert to fraction form
    33,781.25/46,629.06 = 21,206/x
  3. Step 3: Cross multiply
    33,781.25x = 46,629.06 × 21,206
  4. Step 4: Simplify right side
    33,781.25x = 988,815,846.36
  5. Step 5: Solve for x
    x = 988,815,846.36/33,781.25
  6. Step 6: Final answer
    x = 29,271.14

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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.