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Finding the Fourth Proportional to 29,683.12, 44,524.68 and 12,149.04

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Solution

The fourth proportional to 29,683.12, 44,524.68 and 12,149.04 is: 18,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.12 : 44,524.68 = 12,149.04 : x
  2. Step 2: Convert to fraction form
    29,683.12/44,524.68 = 12,149.04/x
  3. Step 3: Cross multiply
    29,683.12x = 44,524.68 × 12,149.04
  4. Step 4: Simplify right side
    29,683.12x = 540,932,118.31
  5. Step 5: Solve for x
    x = 540,932,118.31/29,683.12
  6. Step 6: Final answer
    x = 18,223.56

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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.