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Finding the Fourth Proportional to 43,402.52, 65,082.18 and 20,009

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Solution

The fourth proportional to 43,402.52, 65,082.18 and 20,009 is: 30,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.52 : 65,082.18 = 20,009 : x
  2. Step 2: Convert to fraction form
    43,402.52/65,082.18 = 20,009/x
  3. Step 3: Cross multiply
    43,402.52x = 65,082.18 × 20,009
  4. Step 4: Simplify right side
    43,402.52x = 1,302,229,339.62
  5. Step 5: Solve for x
    x = 1,302,229,339.62/43,402.52
  6. Step 6: Final answer
    x = 30,003.54

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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.