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Finding the Fourth Proportional to 47,986.92, 66,208.50 and 27,839.80

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Solution

The fourth proportional to 47,986.92, 66,208.50 and 27,839.80 is: 38,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,986.92 : 66,208.50 = 27,839.80 : x
  2. Step 2: Convert to fraction form
    47,986.92/66,208.50 = 27,839.80/x
  3. Step 3: Cross multiply
    47,986.92x = 66,208.50 × 27,839.80
  4. Step 4: Simplify right side
    47,986.92x = 1,843,231,398.30
  5. Step 5: Solve for x
    x = 1,843,231,398.30/47,986.92
  6. Step 6: Final answer
    x = 38,411.12

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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.