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Finding the Fourth Proportional to 84,361.69, 116,388.66 and 51,644.98

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Solution

The fourth proportional to 84,361.69, 116,388.66 and 51,644.98 is: 71,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,361.69 : 116,388.66 = 51,644.98 : x
  2. Step 2: Convert to fraction form
    84,361.69/116,388.66 = 51,644.98/x
  3. Step 3: Cross multiply
    84,361.69x = 116,388.66 × 51,644.98
  4. Step 4: Simplify right side
    84,361.69x = 6,010,890,017.93
  5. Step 5: Solve for x
    x = 6,010,890,017.93/84,361.69
  6. Step 6: Final answer
    x = 71,251.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.