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Finding the Fourth Proportional to 71,008.20, 97,991.19 and 39,177

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Solution

The fourth proportional to 71,008.20, 97,991.19 and 39,177 is: 54,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008.20 : 97,991.19 = 39,177 : x
  2. Step 2: Convert to fraction form
    71,008.20/97,991.19 = 39,177/x
  3. Step 3: Cross multiply
    71,008.20x = 97,991.19 × 39,177
  4. Step 4: Simplify right side
    71,008.20x = 3,839,000,850.63
  5. Step 5: Solve for x
    x = 3,839,000,850.63/71,008.20
  6. Step 6: Final answer
    x = 54,064.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.