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Finding the Fourth Proportional to 80,420.42, 110,968.69 and 48,147.31

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Solution

The fourth proportional to 80,420.42, 110,968.69 and 48,147.31 is: 66,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420.42 : 110,968.69 = 48,147.31 : x
  2. Step 2: Convert to fraction form
    80,420.42/110,968.69 = 48,147.31/x
  3. Step 3: Cross multiply
    80,420.42x = 110,968.69 × 48,147.31
  4. Step 4: Simplify right side
    80,420.42x = 5,342,843,122.14
  5. Step 5: Solve for x
    x = 5,342,843,122.14/80,420.42
  6. Step 6: Final answer
    x = 66,436.40

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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.