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Finding the Fourth Proportional to 32,016, 44,112.12 and 23,916

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Solution

The fourth proportional to 32,016, 44,112.12 and 23,916 is: 32,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016 : 44,112.12 = 23,916 : x
  2. Step 2: Convert to fraction form
    32,016/44,112.12 = 23,916/x
  3. Step 3: Cross multiply
    32,016x = 44,112.12 × 23,916
  4. Step 4: Simplify right side
    32,016x = 1,054,985,461.92
  5. Step 5: Solve for x
    x = 1,054,985,461.92/32,016
  6. Step 6: Final answer
    x = 32,951.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.