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Finding the Fourth Proportional to 29,782.33, 41,101.71 and 19,693.24

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Solution

The fourth proportional to 29,782.33, 41,101.71 and 19,693.24 is: 27,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.33 : 41,101.71 = 19,693.24 : x
  2. Step 2: Convert to fraction form
    29,782.33/41,101.71 = 19,693.24/x
  3. Step 3: Cross multiply
    29,782.33x = 41,101.71 × 19,693.24
  4. Step 4: Simplify right side
    29,782.33x = 809,425,839.44
  5. Step 5: Solve for x
    x = 809,425,839.44/29,782.33
  6. Step 6: Final answer
    x = 27,178.06

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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.