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Finding the Fourth Proportional to 65,221.52, 97,846.28 and 20,241.96

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Solution

The fourth proportional to 65,221.52, 97,846.28 and 20,241.96 is: 30,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.52 : 97,846.28 = 20,241.96 : x
  2. Step 2: Convert to fraction form
    65,221.52/97,846.28 = 20,241.96/x
  3. Step 3: Cross multiply
    65,221.52x = 97,846.28 × 20,241.96
  4. Step 4: Simplify right side
    65,221.52x = 1,980,600,485.91
  5. Step 5: Solve for x
    x = 1,980,600,485.91/65,221.52
  6. Step 6: Final answer
    x = 30,367.28

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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.