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Finding the Fourth Proportional to 31,676.98, 47,517.04 and 9,488.24

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Solution

The fourth proportional to 31,676.98, 47,517.04 and 9,488.24 is: 14,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.98 : 47,517.04 = 9,488.24 : x
  2. Step 2: Convert to fraction form
    31,676.98/47,517.04 = 9,488.24/x
  3. Step 3: Cross multiply
    31,676.98x = 47,517.04 × 9,488.24
  4. Step 4: Simplify right side
    31,676.98x = 450,852,842.02
  5. Step 5: Solve for x
    x = 450,852,842.02/31,676.98
  6. Step 6: Final answer
    x = 14,232.83

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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.