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Finding the Fourth Proportional to 34,513.80, 51,770.75 and 10,498.31

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Solution

The fourth proportional to 34,513.80, 51,770.75 and 10,498.31 is: 15,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.80 : 51,770.75 = 10,498.31 : x
  2. Step 2: Convert to fraction form
    34,513.80/51,770.75 = 10,498.31/x
  3. Step 3: Cross multiply
    34,513.80x = 51,770.75 × 10,498.31
  4. Step 4: Simplify right side
    34,513.80x = 543,505,265.23
  5. Step 5: Solve for x
    x = 543,505,265.23/34,513.80
  6. Step 6: Final answer
    x = 15,747.48

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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.