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Finding the Fourth Proportional to 39,631.40, 54,691.40 and 21,727.06

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Solution

The fourth proportional to 39,631.40, 54,691.40 and 21,727.06 is: 29,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,631.40 : 54,691.40 = 21,727.06 : x
  2. Step 2: Convert to fraction form
    39,631.40/54,691.40 = 21,727.06/x
  3. Step 3: Cross multiply
    39,631.40x = 54,691.40 × 21,727.06
  4. Step 4: Simplify right side
    39,631.40x = 1,188,283,329.28
  5. Step 5: Solve for x
    x = 1,188,283,329.28/39,631.40
  6. Step 6: Final answer
    x = 29,983.38

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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.