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Finding the Fourth Proportional to 31,593.21, 47,389.79 and 8,219.66

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Solution

The fourth proportional to 31,593.21, 47,389.79 and 8,219.66 is: 12,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.21 : 47,389.79 = 8,219.66 : x
  2. Step 2: Convert to fraction form
    31,593.21/47,389.79 = 8,219.66/x
  3. Step 3: Cross multiply
    31,593.21x = 47,389.79 × 8,219.66
  4. Step 4: Simplify right side
    31,593.21x = 389,527,683.22
  5. Step 5: Solve for x
    x = 389,527,683.22/31,593.21
  6. Step 6: Final answer
    x = 12,329.47

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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.