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Finding the Fourth Proportional to 31,212.41, 46,818.90 and 12,238.97

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Solution

The fourth proportional to 31,212.41, 46,818.90 and 12,238.97 is: 18,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.41 : 46,818.90 = 12,238.97 : x
  2. Step 2: Convert to fraction form
    31,212.41/46,818.90 = 12,238.97/x
  3. Step 3: Cross multiply
    31,212.41x = 46,818.90 × 12,238.97
  4. Step 4: Simplify right side
    31,212.41x = 573,014,878.44
  5. Step 5: Solve for x
    x = 573,014,878.44/31,212.41
  6. Step 6: Final answer
    x = 18,358.56

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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.