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Finding the Fourth Proportional to 65,161.97, 97,750.70 and 23,033.36

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Solution

The fourth proportional to 65,161.97, 97,750.70 and 23,033.36 is: 34,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161.97 : 97,750.70 = 23,033.36 : x
  2. Step 2: Convert to fraction form
    65,161.97/97,750.70 = 23,033.36/x
  3. Step 3: Cross multiply
    65,161.97x = 97,750.70 × 23,033.36
  4. Step 4: Simplify right side
    65,161.97x = 2,251,527,278.94
  5. Step 5: Solve for x
    x = 2,251,527,278.94/65,161.97
  6. Step 6: Final answer
    x = 34,552.78

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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.