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Finding the Fourth Proportional to 34,736, 52,105.44 and 10,112

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Solution

The fourth proportional to 34,736, 52,105.44 and 10,112 is: 15,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736 : 52,105.44 = 10,112 : x
  2. Step 2: Convert to fraction form
    34,736/52,105.44 = 10,112/x
  3. Step 3: Cross multiply
    34,736x = 52,105.44 × 10,112
  4. Step 4: Simplify right side
    34,736x = 526,890,209.28
  5. Step 5: Solve for x
    x = 526,890,209.28/34,736
  6. Step 6: Final answer
    x = 15,168.42

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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.