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Finding the Fourth Proportional to 31,724.50, 47,584.94 and 9,537.44

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Solution

The fourth proportional to 31,724.50, 47,584.94 and 9,537.44 is: 14,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724.50 : 47,584.94 = 9,537.44 : x
  2. Step 2: Convert to fraction form
    31,724.50/47,584.94 = 9,537.44/x
  3. Step 3: Cross multiply
    31,724.50x = 47,584.94 × 9,537.44
  4. Step 4: Simplify right side
    31,724.50x = 453,838,510.15
  5. Step 5: Solve for x
    x = 453,838,510.15/31,724.50
  6. Step 6: Final answer
    x = 14,305.62

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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.