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Finding the Fourth Proportional to 50,950.84, 76,287.74 and 29,859.80

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Solution

The fourth proportional to 50,950.84, 76,287.74 and 29,859.80 is: 44,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,950.84 : 76,287.74 = 29,859.80 : x
  2. Step 2: Convert to fraction form
    50,950.84/76,287.74 = 29,859.80/x
  3. Step 3: Cross multiply
    50,950.84x = 76,287.74 × 29,859.80
  4. Step 4: Simplify right side
    50,950.84x = 2,277,936,658.85
  5. Step 5: Solve for x
    x = 2,277,936,658.85/50,950.84
  6. Step 6: Final answer
    x = 44,708.52

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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.