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Finding the Fourth Proportional to 29,770.50, 41,083.29 and 17,195.25

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Solution

The fourth proportional to 29,770.50, 41,083.29 and 17,195.25 is: 23,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.50 : 41,083.29 = 17,195.25 : x
  2. Step 2: Convert to fraction form
    29,770.50/41,083.29 = 17,195.25/x
  3. Step 3: Cross multiply
    29,770.50x = 41,083.29 × 17,195.25
  4. Step 4: Simplify right side
    29,770.50x = 706,437,442.37
  5. Step 5: Solve for x
    x = 706,437,442.37/29,770.50
  6. Step 6: Final answer
    x = 23,729.45

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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.