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Finding the Fourth Proportional to 109,982.43, 164,892.87 and 35,059.50

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Solution

The fourth proportional to 109,982.43, 164,892.87 and 35,059.50 is: 52,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,982.43 : 164,892.87 = 35,059.50 : x
  2. Step 2: Convert to fraction form
    109,982.43/164,892.87 = 35,059.50/x
  3. Step 3: Cross multiply
    109,982.43x = 164,892.87 × 35,059.50
  4. Step 4: Simplify right side
    109,982.43x = 5,781,061,575.77
  5. Step 5: Solve for x
    x = 5,781,061,575.77/109,982.43
  6. Step 6: Final answer
    x = 52,563.50

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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.