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Finding the Fourth Proportional to 32,136.34, 48,107.23 and 29,174.78

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Solution

The fourth proportional to 32,136.34, 48,107.23 and 29,174.78 is: 43,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.34 : 48,107.23 = 29,174.78 : x
  2. Step 2: Convert to fraction form
    32,136.34/48,107.23 = 29,174.78/x
  3. Step 3: Cross multiply
    32,136.34x = 48,107.23 × 29,174.78
  4. Step 4: Simplify right side
    32,136.34x = 1,403,517,611.12
  5. Step 5: Solve for x
    x = 1,403,517,611.12/32,136.34
  6. Step 6: Final answer
    x = 43,673.85

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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.