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Finding the Fourth Proportional to 65,383.89, 90,249.03 and 38,535.09

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Solution

The fourth proportional to 65,383.89, 90,249.03 and 38,535.09 is: 53,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.89 : 90,249.03 = 38,535.09 : x
  2. Step 2: Convert to fraction form
    65,383.89/90,249.03 = 38,535.09/x
  3. Step 3: Cross multiply
    65,383.89x = 90,249.03 × 38,535.09
  4. Step 4: Simplify right side
    65,383.89x = 3,477,754,493.46
  5. Step 5: Solve for x
    x = 3,477,754,493.46/65,383.89
  6. Step 6: Final answer
    x = 53,189.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.