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Finding the Fourth Proportional to 49,425.40, 68,205.55 and 27,916

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Solution

The fourth proportional to 49,425.40, 68,205.55 and 27,916 is: 38,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425.40 : 68,205.55 = 27,916 : x
  2. Step 2: Convert to fraction form
    49,425.40/68,205.55 = 27,916/x
  3. Step 3: Cross multiply
    49,425.40x = 68,205.55 × 27,916
  4. Step 4: Simplify right side
    49,425.40x = 1,904,026,133.80
  5. Step 5: Solve for x
    x = 1,904,026,133.80/49,425.40
  6. Step 6: Final answer
    x = 38,523.23

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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.