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Finding the Fourth Proportional to 71,015.42, 97,999.43 and 39,183.64

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Solution

The fourth proportional to 71,015.42, 97,999.43 and 39,183.64 is: 54,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,015.42 : 97,999.43 = 39,183.64 : x
  2. Step 2: Convert to fraction form
    71,015.42/97,999.43 = 39,183.64/x
  3. Step 3: Cross multiply
    71,015.42x = 97,999.43 × 39,183.64
  4. Step 4: Simplify right side
    71,015.42x = 3,839,973,944.41
  5. Step 5: Solve for x
    x = 3,839,973,944.41/71,015.42
  6. Step 6: Final answer
    x = 54,072.39

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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.