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Finding the Fourth Proportional to 57,190.82, 85,765.17 and 19,741.28

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Solution

The fourth proportional to 57,190.82, 85,765.17 and 19,741.28 is: 29,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.82 : 85,765.17 = 19,741.28 : x
  2. Step 2: Convert to fraction form
    57,190.82/85,765.17 = 19,741.28/x
  3. Step 3: Cross multiply
    57,190.82x = 85,765.17 × 19,741.28
  4. Step 4: Simplify right side
    57,190.82x = 1,693,114,235.22
  5. Step 5: Solve for x
    x = 1,693,114,235.22/57,190.82
  6. Step 6: Final answer
    x = 29,604.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.