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Finding the Fourth Proportional to 74,202.93, 102,396.38 and 41,938.20

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Solution

The fourth proportional to 74,202.93, 102,396.38 and 41,938.20 is: 57,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202.93 : 102,396.38 = 41,938.20 : x
  2. Step 2: Convert to fraction form
    74,202.93/102,396.38 = 41,938.20/x
  3. Step 3: Cross multiply
    74,202.93x = 102,396.38 × 41,938.20
  4. Step 4: Simplify right side
    74,202.93x = 4,294,319,654.03
  5. Step 5: Solve for x
    x = 4,294,319,654.03/74,202.93
  6. Step 6: Final answer
    x = 57,872.64

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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.