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Finding the Fourth Proportional to 32,135.40, 48,189.78 and 12,141.44

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Solution

The fourth proportional to 32,135.40, 48,189.78 and 12,141.44 is: 18,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.40 : 48,189.78 = 12,141.44 : x
  2. Step 2: Convert to fraction form
    32,135.40/48,189.78 = 12,141.44/x
  3. Step 3: Cross multiply
    32,135.40x = 48,189.78 × 12,141.44
  4. Step 4: Simplify right side
    32,135.40x = 585,093,181.41
  5. Step 5: Solve for x
    x = 585,093,181.41/32,135.40
  6. Step 6: Final answer
    x = 18,207.12

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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.