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Finding the Fourth Proportional to 65,163.97, 97,753.70 and 23,035.36

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Solution

The fourth proportional to 65,163.97, 97,753.70 and 23,035.36 is: 34,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.97 : 97,753.70 = 23,035.36 : x
  2. Step 2: Convert to fraction form
    65,163.97/97,753.70 = 23,035.36/x
  3. Step 3: Cross multiply
    65,163.97x = 97,753.70 × 23,035.36
  4. Step 4: Simplify right side
    65,163.97x = 2,251,791,670.83
  5. Step 5: Solve for x
    x = 2,251,791,670.83/65,163.97
  6. Step 6: Final answer
    x = 34,555.78

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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.