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Finding the Fourth Proportional to 29,804.34, 41,142.60 and 20,115.90

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Solution

The fourth proportional to 29,804.34, 41,142.60 and 20,115.90 is: 27,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.34 : 41,142.60 = 20,115.90 : x
  2. Step 2: Convert to fraction form
    29,804.34/41,142.60 = 20,115.90/x
  3. Step 3: Cross multiply
    29,804.34x = 41,142.60 × 20,115.90
  4. Step 4: Simplify right side
    29,804.34x = 827,620,427.34
  5. Step 5: Solve for x
    x = 827,620,427.34/29,804.34
  6. Step 6: Final answer
    x = 27,768.45

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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.