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Finding the Fourth Proportional to 31,685.58, 47,528.73 and 8,314.38

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Solution

The fourth proportional to 31,685.58, 47,528.73 and 8,314.38 is: 12,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.58 : 47,528.73 = 8,314.38 : x
  2. Step 2: Convert to fraction form
    31,685.58/47,528.73 = 8,314.38/x
  3. Step 3: Cross multiply
    31,685.58x = 47,528.73 × 8,314.38
  4. Step 4: Simplify right side
    31,685.58x = 395,171,922.14
  5. Step 5: Solve for x
    x = 395,171,922.14/31,685.58
  6. Step 6: Final answer
    x = 12,471.66

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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.