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Finding the Fourth Proportional to 31,745.49, 47,576.45 and 17,712.12

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Solution

The fourth proportional to 31,745.49, 47,576.45 and 17,712.12 is: 26,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.49 : 47,576.45 = 17,712.12 : x
  2. Step 2: Convert to fraction form
    31,745.49/47,576.45 = 17,712.12/x
  3. Step 3: Cross multiply
    31,745.49x = 47,576.45 × 17,712.12
  4. Step 4: Simplify right side
    31,745.49x = 842,679,647.02
  5. Step 5: Solve for x
    x = 842,679,647.02/31,745.49
  6. Step 6: Final answer
    x = 26,544.87

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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.