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Finding the Fourth Proportional to 65,629.96, 98,270.22 and 34,399.88

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Solution

The fourth proportional to 65,629.96, 98,270.22 and 34,399.88 is: 51,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629.96 : 98,270.22 = 34,399.88 : x
  2. Step 2: Convert to fraction form
    65,629.96/98,270.22 = 34,399.88/x
  3. Step 3: Cross multiply
    65,629.96x = 98,270.22 × 34,399.88
  4. Step 4: Simplify right side
    65,629.96x = 3,380,483,775.57
  5. Step 5: Solve for x
    x = 3,380,483,775.57/65,629.96
  6. Step 6: Final answer
    x = 51,508.24

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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.