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Finding the Fourth Proportional to 85,438.48, 128,067 and 50,394.64

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Solution

The fourth proportional to 85,438.48, 128,067 and 50,394.64 is: 75,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,438.48 : 128,067 = 50,394.64 : x
  2. Step 2: Convert to fraction form
    85,438.48/128,067 = 50,394.64/x
  3. Step 3: Cross multiply
    85,438.48x = 128,067 × 50,394.64
  4. Step 4: Simplify right side
    85,438.48x = 6,453,890,360.88
  5. Step 5: Solve for x
    x = 6,453,890,360.88/85,438.48
  6. Step 6: Final answer
    x = 75,538.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.