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Finding the Fourth Proportional to 51,554.52, 71,145.46 and 30,057

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Solution

The fourth proportional to 51,554.52, 71,145.46 and 30,057 is: 41,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,554.52 : 71,145.46 = 30,057 : x
  2. Step 2: Convert to fraction form
    51,554.52/71,145.46 = 30,057/x
  3. Step 3: Cross multiply
    51,554.52x = 71,145.46 × 30,057
  4. Step 4: Simplify right side
    51,554.52x = 2,138,419,091.22
  5. Step 5: Solve for x
    x = 2,138,419,091.22/51,554.52
  6. Step 6: Final answer
    x = 41,478.79

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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.