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Finding the Fourth Proportional to 65,241.72, 97,825.05 and 34,809.48

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Solution

The fourth proportional to 65,241.72, 97,825.05 and 34,809.48 is: 52,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241.72 : 97,825.05 = 34,809.48 : x
  2. Step 2: Convert to fraction form
    65,241.72/97,825.05 = 34,809.48/x
  3. Step 3: Cross multiply
    65,241.72x = 97,825.05 × 34,809.48
  4. Step 4: Simplify right side
    65,241.72x = 3,405,239,121.47
  5. Step 5: Solve for x
    x = 3,405,239,121.47/65,241.72
  6. Step 6: Final answer
    x = 52,194.20

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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.