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Finding the Fourth Proportional to 31,588.74, 47,383.08 and 8,214.54

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Solution

The fourth proportional to 31,588.74, 47,383.08 and 8,214.54 is: 12,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.74 : 47,383.08 = 8,214.54 : x
  2. Step 2: Convert to fraction form
    31,588.74/47,383.08 = 8,214.54/x
  3. Step 3: Cross multiply
    31,588.74x = 47,383.08 × 8,214.54
  4. Step 4: Simplify right side
    31,588.74x = 389,230,205.98
  5. Step 5: Solve for x
    x = 389,230,205.98/31,588.74
  6. Step 6: Final answer
    x = 12,321.80

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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.