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Finding the Fourth Proportional to 32,114.41, 48,151.06 and 15,441.23

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Solution

The fourth proportional to 32,114.41, 48,151.06 and 15,441.23 is: 23,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.41 : 48,151.06 = 15,441.23 : x
  2. Step 2: Convert to fraction form
    32,114.41/48,151.06 = 15,441.23/x
  3. Step 3: Cross multiply
    32,114.41x = 48,151.06 × 15,441.23
  4. Step 4: Simplify right side
    32,114.41x = 743,511,673.98
  5. Step 5: Solve for x
    x = 743,511,673.98/32,114.41
  6. Step 6: Final answer
    x = 23,151.97

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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.