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Finding the Fourth Proportional to 96,361.68, 144,604.22 and 52,019.31

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Solution

The fourth proportional to 96,361.68, 144,604.22 and 52,019.31 is: 78,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,361.68 : 144,604.22 = 52,019.31 : x
  2. Step 2: Convert to fraction form
    96,361.68/144,604.22 = 52,019.31/x
  3. Step 3: Cross multiply
    96,361.68x = 144,604.22 × 52,019.31
  4. Step 4: Simplify right side
    96,361.68x = 7,522,211,747.49
  5. Step 5: Solve for x
    x = 7,522,211,747.49/96,361.68
  6. Step 6: Final answer
    x = 78,062.27

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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.