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Finding the Fourth Proportional to 65,021.35, 97,542.35 and 27,581.59

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Solution

The fourth proportional to 65,021.35, 97,542.35 and 27,581.59 is: 41,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021.35 : 97,542.35 = 27,581.59 : x
  2. Step 2: Convert to fraction form
    65,021.35/97,542.35 = 27,581.59/x
  3. Step 3: Cross multiply
    65,021.35x = 97,542.35 × 27,581.59
  4. Step 4: Simplify right side
    65,021.35x = 2,690,373,105.34
  5. Step 5: Solve for x
    x = 2,690,373,105.34/65,021.35
  6. Step 6: Final answer
    x = 41,376.76

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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.