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Finding the Fourth Proportional to 33,945.82, 46,843.12 and 20,509.14

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Solution

The fourth proportional to 33,945.82, 46,843.12 and 20,509.14 is: 28,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.82 : 46,843.12 = 20,509.14 : x
  2. Step 2: Convert to fraction form
    33,945.82/46,843.12 = 20,509.14/x
  3. Step 3: Cross multiply
    33,945.82x = 46,843.12 × 20,509.14
  4. Step 4: Simplify right side
    33,945.82x = 960,712,106.12
  5. Step 5: Solve for x
    x = 960,712,106.12/33,945.82
  6. Step 6: Final answer
    x = 28,301.34

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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.