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Finding the Fourth Proportional to 32,883.26, 49,294.10 and 16,012.58

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Solution

The fourth proportional to 32,883.26, 49,294.10 and 16,012.58 is: 24,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.26 : 49,294.10 = 16,012.58 : x
  2. Step 2: Convert to fraction form
    32,883.26/49,294.10 = 16,012.58/x
  3. Step 3: Cross multiply
    32,883.26x = 49,294.10 × 16,012.58
  4. Step 4: Simplify right side
    32,883.26x = 789,325,719.78
  5. Step 5: Solve for x
    x = 789,325,719.78/32,883.26
  6. Step 6: Final answer
    x = 24,003.88

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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.