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Finding the Fourth Proportional to 76,141.62, 114,211.62 and 29,361.69

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Solution

The fourth proportional to 76,141.62, 114,211.62 and 29,361.69 is: 44,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.62 : 114,211.62 = 29,361.69 : x
  2. Step 2: Convert to fraction form
    76,141.62/114,211.62 = 29,361.69/x
  3. Step 3: Cross multiply
    76,141.62x = 114,211.62 × 29,361.69
  4. Step 4: Simplify right side
    76,141.62x = 3,353,446,180.84
  5. Step 5: Solve for x
    x = 3,353,446,180.84/76,141.62
  6. Step 6: Final answer
    x = 44,042.22

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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.