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Finding the Fourth Proportional to 31,563.46, 47,352.99 and 9,376.80

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Solution

The fourth proportional to 31,563.46, 47,352.99 and 9,376.80 is: 14,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.46 : 47,352.99 = 9,376.80 : x
  2. Step 2: Convert to fraction form
    31,563.46/47,352.99 = 9,376.80/x
  3. Step 3: Cross multiply
    31,563.46x = 47,352.99 × 9,376.80
  4. Step 4: Simplify right side
    31,563.46x = 444,019,658.46
  5. Step 5: Solve for x
    x = 444,019,658.46/31,563.46
  6. Step 6: Final answer
    x = 14,067.52

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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.