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Finding the Fourth Proportional to 31,687.68, 47,538 and 10,629.84

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Solution

The fourth proportional to 31,687.68, 47,538 and 10,629.84 is: 15,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.68 : 47,538 = 10,629.84 : x
  2. Step 2: Convert to fraction form
    31,687.68/47,538 = 10,629.84/x
  3. Step 3: Cross multiply
    31,687.68x = 47,538 × 10,629.84
  4. Step 4: Simplify right side
    31,687.68x = 505,321,333.92
  5. Step 5: Solve for x
    x = 505,321,333.92/31,687.68
  6. Step 6: Final answer
    x = 15,946.93

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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.