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Finding the Fourth Proportional to 31,969.88, 47,955.28 and 12,249.44

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Solution

The fourth proportional to 31,969.88, 47,955.28 and 12,249.44 is: 18,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.88 : 47,955.28 = 12,249.44 : x
  2. Step 2: Convert to fraction form
    31,969.88/47,955.28 = 12,249.44/x
  3. Step 3: Cross multiply
    31,969.88x = 47,955.28 × 12,249.44
  4. Step 4: Simplify right side
    31,969.88x = 587,425,325.04
  5. Step 5: Solve for x
    x = 587,425,325.04/31,969.88
  6. Step 6: Final answer
    x = 18,374.34

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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.