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Finding the Fourth Proportional to 55,138.20, 82,707.30 and 31,745.40

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Solution

The fourth proportional to 55,138.20, 82,707.30 and 31,745.40 is: 47,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138.20 : 82,707.30 = 31,745.40 : x
  2. Step 2: Convert to fraction form
    55,138.20/82,707.30 = 31,745.40/x
  3. Step 3: Cross multiply
    55,138.20x = 82,707.30 × 31,745.40
  4. Step 4: Simplify right side
    55,138.20x = 2,625,576,321.42
  5. Step 5: Solve for x
    x = 2,625,576,321.42/55,138.20
  6. Step 6: Final answer
    x = 47,618.10

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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.