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Finding the Fourth Proportional to 75,784.02, 113,676.03 and 33,654.20

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Solution

The fourth proportional to 75,784.02, 113,676.03 and 33,654.20 is: 50,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784.02 : 113,676.03 = 33,654.20 : x
  2. Step 2: Convert to fraction form
    75,784.02/113,676.03 = 33,654.20/x
  3. Step 3: Cross multiply
    75,784.02x = 113,676.03 × 33,654.20
  4. Step 4: Simplify right side
    75,784.02x = 3,825,675,280.45
  5. Step 5: Solve for x
    x = 3,825,675,280.45/75,784.02
  6. Step 6: Final answer
    x = 50,481.29

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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.