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Finding the Fourth Proportional to 52,112, 71,914.56 and 29,756

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Solution

The fourth proportional to 52,112, 71,914.56 and 29,756 is: 41,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112 : 71,914.56 = 29,756 : x
  2. Step 2: Convert to fraction form
    52,112/71,914.56 = 29,756/x
  3. Step 3: Cross multiply
    52,112x = 71,914.56 × 29,756
  4. Step 4: Simplify right side
    52,112x = 2,139,889,647.36
  5. Step 5: Solve for x
    x = 2,139,889,647.36/52,112
  6. Step 6: Final answer
    x = 41,063.28

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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.