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Finding the Fourth Proportional to 31,648.98, 47,471.84 and 9,462.54

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Solution

The fourth proportional to 31,648.98, 47,471.84 and 9,462.54 is: 14,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.98 : 47,471.84 = 9,462.54 : x
  2. Step 2: Convert to fraction form
    31,648.98/47,471.84 = 9,462.54/x
  3. Step 3: Cross multiply
    31,648.98x = 47,471.84 × 9,462.54
  4. Step 4: Simplify right side
    31,648.98x = 449,204,184.87
  5. Step 5: Solve for x
    x = 449,204,184.87/31,648.98
  6. Step 6: Final answer
    x = 14,193.32

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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.