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Finding the Fourth Proportional to 65,493.36, 98,241.12 and 23,940

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Solution

The fourth proportional to 65,493.36, 98,241.12 and 23,940 is: 35,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493.36 : 98,241.12 = 23,940 : x
  2. Step 2: Convert to fraction form
    65,493.36/98,241.12 = 23,940/x
  3. Step 3: Cross multiply
    65,493.36x = 98,241.12 × 23,940
  4. Step 4: Simplify right side
    65,493.36x = 2,351,892,412.80
  5. Step 5: Solve for x
    x = 2,351,892,412.80/65,493.36
  6. Step 6: Final answer
    x = 35,910.39

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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.