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Finding the Fourth Proportional to 33,287.97, 49,932 and 19,427.25

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Solution

The fourth proportional to 33,287.97, 49,932 and 19,427.25 is: 29,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.97 : 49,932 = 19,427.25 : x
  2. Step 2: Convert to fraction form
    33,287.97/49,932 = 19,427.25/x
  3. Step 3: Cross multiply
    33,287.97x = 49,932 × 19,427.25
  4. Step 4: Simplify right side
    33,287.97x = 970,041,447
  5. Step 5: Solve for x
    x = 970,041,447/33,287.97
  6. Step 6: Final answer
    x = 29,140.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.