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Finding the Fourth Proportional to 71,839.82, 107,772.80 and 29,697.01

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Solution

The fourth proportional to 71,839.82, 107,772.80 and 29,697.01 is: 44,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,839.82 : 107,772.80 = 29,697.01 : x
  2. Step 2: Convert to fraction form
    71,839.82/107,772.80 = 29,697.01/x
  3. Step 3: Cross multiply
    71,839.82x = 107,772.80 × 29,697.01
  4. Step 4: Simplify right side
    71,839.82x = 3,200,529,942.94
  5. Step 5: Solve for x
    x = 3,200,529,942.94/71,839.82
  6. Step 6: Final answer
    x = 44,550.92

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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.