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Finding the Fourth Proportional to 31,683.92, 47,476.58 and 11,951.68

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Solution

The fourth proportional to 31,683.92, 47,476.58 and 11,951.68 is: 17,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.92 : 47,476.58 = 11,951.68 : x
  2. Step 2: Convert to fraction form
    31,683.92/47,476.58 = 11,951.68/x
  3. Step 3: Cross multiply
    31,683.92x = 47,476.58 × 11,951.68
  4. Step 4: Simplify right side
    31,683.92x = 567,424,891.65
  5. Step 5: Solve for x
    x = 567,424,891.65/31,683.92
  6. Step 6: Final answer
    x = 17,908.92

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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.