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Finding the Fourth Proportional to 57,105.37, 85,563.69 and 19,645.30

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Solution

The fourth proportional to 57,105.37, 85,563.69 and 19,645.30 is: 29,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.37 : 85,563.69 = 19,645.30 : x
  2. Step 2: Convert to fraction form
    57,105.37/85,563.69 = 19,645.30/x
  3. Step 3: Cross multiply
    57,105.37x = 85,563.69 × 19,645.30
  4. Step 4: Simplify right side
    57,105.37x = 1,680,924,359.16
  5. Step 5: Solve for x
    x = 1,680,924,359.16/57,105.37
  6. Step 6: Final answer
    x = 29,435.49

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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.