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Finding the Fourth Proportional to 65,170.49, 97,757.43 and 20,797.18

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Solution

The fourth proportional to 65,170.49, 97,757.43 and 20,797.18 is: 31,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.49 : 97,757.43 = 20,797.18 : x
  2. Step 2: Convert to fraction form
    65,170.49/97,757.43 = 20,797.18/x
  3. Step 3: Cross multiply
    65,170.49x = 97,757.43 × 20,797.18
  4. Step 4: Simplify right side
    65,170.49x = 2,033,078,868.05
  5. Step 5: Solve for x
    x = 2,033,078,868.05/65,170.49
  6. Step 6: Final answer
    x = 31,196.31

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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.