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Finding the Fourth Proportional to 31,683.49, 47,522.80 and 8,309.32

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Solution

The fourth proportional to 31,683.49, 47,522.80 and 8,309.32 is: 12,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.49 : 47,522.80 = 8,309.32 : x
  2. Step 2: Convert to fraction form
    31,683.49/47,522.80 = 8,309.32/x
  3. Step 3: Cross multiply
    31,683.49x = 47,522.80 × 8,309.32
  4. Step 4: Simplify right side
    31,683.49x = 394,882,044.08
  5. Step 5: Solve for x
    x = 394,882,044.08/31,683.49
  6. Step 6: Final answer
    x = 12,463.34

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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.