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Finding the Fourth Proportional to 65,199.36, 97,797.96 and 20,825.80

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Solution

The fourth proportional to 65,199.36, 97,797.96 and 20,825.80 is: 31,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.36 : 97,797.96 = 20,825.80 : x
  2. Step 2: Convert to fraction form
    65,199.36/97,797.96 = 20,825.80/x
  3. Step 3: Cross multiply
    65,199.36x = 97,797.96 × 20,825.80
  4. Step 4: Simplify right side
    65,199.36x = 2,036,720,755.37
  5. Step 5: Solve for x
    x = 2,036,720,755.37/65,199.36
  6. Step 6: Final answer
    x = 31,238.36

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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.