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Finding the Fourth Proportional to 71,008.25, 97,991.17 and 39,177.17

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Solution

The fourth proportional to 71,008.25, 97,991.17 and 39,177.17 is: 54,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008.25 : 97,991.17 = 39,177.17 : x
  2. Step 2: Convert to fraction form
    71,008.25/97,991.17 = 39,177.17/x
  3. Step 3: Cross multiply
    71,008.25x = 97,991.17 × 39,177.17
  4. Step 4: Simplify right side
    71,008.25x = 3,839,016,505.16
  5. Step 5: Solve for x
    x = 3,839,016,505.16/71,008.25
  6. Step 6: Final answer
    x = 54,064.38

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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.