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Finding the Fourth Proportional to 31,759.58, 47,644.23 and 8,387.84

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Solution

The fourth proportional to 31,759.58, 47,644.23 and 8,387.84 is: 12,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.58 : 47,644.23 = 8,387.84 : x
  2. Step 2: Convert to fraction form
    31,759.58/47,644.23 = 8,387.84/x
  3. Step 3: Cross multiply
    31,759.58x = 47,644.23 × 8,387.84
  4. Step 4: Simplify right side
    31,759.58x = 399,632,178.16
  5. Step 5: Solve for x
    x = 399,632,178.16/31,759.58
  6. Step 6: Final answer
    x = 12,583.04

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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.