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Finding the Fourth Proportional to 31,655.68, 47,485.10 and 9,469.24

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Solution

The fourth proportional to 31,655.68, 47,485.10 and 9,469.24 is: 14,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.68 : 47,485.10 = 9,469.24 : x
  2. Step 2: Convert to fraction form
    31,655.68/47,485.10 = 9,469.24/x
  3. Step 3: Cross multiply
    31,655.68x = 47,485.10 × 9,469.24
  4. Step 4: Simplify right side
    31,655.68x = 449,647,713.28
  5. Step 5: Solve for x
    x = 449,647,713.28/31,655.68
  6. Step 6: Final answer
    x = 14,204.33

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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.