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Finding the Fourth Proportional to 47,871.67, 66,019.89 and 29,968.30

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Solution

The fourth proportional to 47,871.67, 66,019.89 and 29,968.30 is: 41,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.67 : 66,019.89 = 29,968.30 : x
  2. Step 2: Convert to fraction form
    47,871.67/66,019.89 = 29,968.30/x
  3. Step 3: Cross multiply
    47,871.67x = 66,019.89 × 29,968.30
  4. Step 4: Simplify right side
    47,871.67x = 1,978,503,869.49
  5. Step 5: Solve for x
    x = 1,978,503,869.49/47,871.67
  6. Step 6: Final answer
    x = 41,329.33

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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.