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Finding the Fourth Proportional to 51,771.26, 71,415.14 and 31,069.46

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Solution

The fourth proportional to 51,771.26, 71,415.14 and 31,069.46 is: 42,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.26 : 71,415.14 = 31,069.46 : x
  2. Step 2: Convert to fraction form
    51,771.26/71,415.14 = 31,069.46/x
  3. Step 3: Cross multiply
    51,771.26x = 71,415.14 × 31,069.46
  4. Step 4: Simplify right side
    51,771.26x = 2,218,830,020.54
  5. Step 5: Solve for x
    x = 2,218,830,020.54/51,771.26
  6. Step 6: Final answer
    x = 42,858.34

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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.