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Finding the Fourth Proportional to 50,110.84, 69,105.24 and 29,964.44

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Solution

The fourth proportional to 50,110.84, 69,105.24 and 29,964.44 is: 41,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,110.84 : 69,105.24 = 29,964.44 : x
  2. Step 2: Convert to fraction form
    50,110.84/69,105.24 = 29,964.44/x
  3. Step 3: Cross multiply
    50,110.84x = 69,105.24 × 29,964.44
  4. Step 4: Simplify right side
    50,110.84x = 2,070,699,817.67
  5. Step 5: Solve for x
    x = 2,070,699,817.67/50,110.84
  6. Step 6: Final answer
    x = 41,322.39

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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.