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Finding the Fourth Proportional to 77,380.14, 106,739.24 and 48,654.27

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Solution

The fourth proportional to 77,380.14, 106,739.24 and 48,654.27 is: 67,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,380.14 : 106,739.24 = 48,654.27 : x
  2. Step 2: Convert to fraction form
    77,380.14/106,739.24 = 48,654.27/x
  3. Step 3: Cross multiply
    77,380.14x = 106,739.24 × 48,654.27
  4. Step 4: Simplify right side
    77,380.14x = 5,193,319,559.28
  5. Step 5: Solve for x
    x = 5,193,319,559.28/77,380.14
  6. Step 6: Final answer
    x = 67,114.37

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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.