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Finding the Fourth Proportional to 71,011.88, 97,996.92 and 39,181.96

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Solution

The fourth proportional to 71,011.88, 97,996.92 and 39,181.96 is: 54,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011.88 : 97,996.92 = 39,181.96 : x
  2. Step 2: Convert to fraction form
    71,011.88/97,996.92 = 39,181.96/x
  3. Step 3: Cross multiply
    71,011.88x = 97,996.92 × 39,181.96
  4. Step 4: Simplify right side
    71,011.88x = 3,839,711,399.56
  5. Step 5: Solve for x
    x = 3,839,711,399.56/71,011.88
  6. Step 6: Final answer
    x = 54,071.39

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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.