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Finding the Fourth Proportional to 33,676.68, 50,509.57 and 15,907.31

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Solution

The fourth proportional to 33,676.68, 50,509.57 and 15,907.31 is: 23,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.68 : 50,509.57 = 15,907.31 : x
  2. Step 2: Convert to fraction form
    33,676.68/50,509.57 = 15,907.31/x
  3. Step 3: Cross multiply
    33,676.68x = 50,509.57 × 15,907.31
  4. Step 4: Simplify right side
    33,676.68x = 803,471,387.96
  5. Step 5: Solve for x
    x = 803,471,387.96/33,676.68
  6. Step 6: Final answer
    x = 23,858.39

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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.