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Finding the Fourth Proportional to 81,665.50, 122,529.94 and 31,780.64

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Solution

The fourth proportional to 81,665.50, 122,529.94 and 31,780.64 is: 47,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,665.50 : 122,529.94 = 31,780.64 : x
  2. Step 2: Convert to fraction form
    81,665.50/122,529.94 = 31,780.64/x
  3. Step 3: Cross multiply
    81,665.50x = 122,529.94 × 31,780.64
  4. Step 4: Simplify right side
    81,665.50x = 3,894,079,912.36
  5. Step 5: Solve for x
    x = 3,894,079,912.36/81,665.50
  6. Step 6: Final answer
    x = 47,683.29

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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.