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Finding the Fourth Proportional to 108,007.84, 161,961.54 and 33,108.76

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Solution

The fourth proportional to 108,007.84, 161,961.54 and 33,108.76 is: 49,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,007.84 : 161,961.54 = 33,108.76 : x
  2. Step 2: Convert to fraction form
    108,007.84/161,961.54 = 33,108.76/x
  3. Step 3: Cross multiply
    108,007.84x = 161,961.54 × 33,108.76
  4. Step 4: Simplify right side
    108,007.84x = 5,362,345,757.09
  5. Step 5: Solve for x
    x = 5,362,345,757.09/108,007.84
  6. Step 6: Final answer
    x = 49,647.75

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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.