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Finding the Fourth Proportional to 65,206.78, 97,846.50 and 35,220.41

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Solution

The fourth proportional to 65,206.78, 97,846.50 and 35,220.41 is: 52,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.78 : 97,846.50 = 35,220.41 : x
  2. Step 2: Convert to fraction form
    65,206.78/97,846.50 = 35,220.41/x
  3. Step 3: Cross multiply
    65,206.78x = 97,846.50 × 35,220.41
  4. Step 4: Simplify right side
    65,206.78x = 3,446,193,847.07
  5. Step 5: Solve for x
    x = 3,446,193,847.07/65,206.78
  6. Step 6: Final answer
    x = 52,850.24

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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.