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Finding the Fourth Proportional to 33,209.47, 45,805.62 and 19,770.31

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Solution

The fourth proportional to 33,209.47, 45,805.62 and 19,770.31 is: 27,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.47 : 45,805.62 = 19,770.31 : x
  2. Step 2: Convert to fraction form
    33,209.47/45,805.62 = 19,770.31/x
  3. Step 3: Cross multiply
    33,209.47x = 45,805.62 × 19,770.31
  4. Step 4: Simplify right side
    33,209.47x = 905,591,307.14
  5. Step 5: Solve for x
    x = 905,591,307.14/33,209.47
  6. Step 6: Final answer
    x = 27,269.07

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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.