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Finding the Fourth Proportional to 75,930.80, 113,896.20 and 33,810.80

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Solution

The fourth proportional to 75,930.80, 113,896.20 and 33,810.80 is: 50,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,930.80 : 113,896.20 = 33,810.80 : x
  2. Step 2: Convert to fraction form
    75,930.80/113,896.20 = 33,810.80/x
  3. Step 3: Cross multiply
    75,930.80x = 113,896.20 × 33,810.80
  4. Step 4: Simplify right side
    75,930.80x = 3,850,921,638.96
  5. Step 5: Solve for x
    x = 3,850,921,638.96/75,930.80
  6. Step 6: Final answer
    x = 50,716.20

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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.