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Finding the Fourth Proportional to 78,683.50, 117,939.39 and 38,729.98

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Solution

The fourth proportional to 78,683.50, 117,939.39 and 38,729.98 is: 58,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.50 : 117,939.39 = 38,729.98 : x
  2. Step 2: Convert to fraction form
    78,683.50/117,939.39 = 38,729.98/x
  3. Step 3: Cross multiply
    78,683.50x = 117,939.39 × 38,729.98
  4. Step 4: Simplify right side
    78,683.50x = 4,567,790,215.91
  5. Step 5: Solve for x
    x = 4,567,790,215.91/78,683.50
  6. Step 6: Final answer
    x = 58,052.71

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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.