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Finding the Fourth Proportional to 65,629.46, 98,453.85 and 21,241.46

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Solution

The fourth proportional to 65,629.46, 98,453.85 and 21,241.46 is: 31,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629.46 : 98,453.85 = 21,241.46 : x
  2. Step 2: Convert to fraction form
    65,629.46/98,453.85 = 21,241.46/x
  3. Step 3: Cross multiply
    65,629.46x = 98,453.85 × 21,241.46
  4. Step 4: Simplify right side
    65,629.46x = 2,091,303,516.62
  5. Step 5: Solve for x
    x = 2,091,303,516.62/65,629.46
  6. Step 6: Final answer
    x = 31,865.32

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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.