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Finding the Fourth Proportional to 49,976, 68,967.60 and 27,620

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Solution

The fourth proportional to 49,976, 68,967.60 and 27,620 is: 38,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,976 : 68,967.60 = 27,620 : x
  2. Step 2: Convert to fraction form
    49,976/68,967.60 = 27,620/x
  3. Step 3: Cross multiply
    49,976x = 68,967.60 × 27,620
  4. Step 4: Simplify right side
    49,976x = 1,904,885,112.00
  5. Step 5: Solve for x
    x = 1,904,885,112.00/49,976
  6. Step 6: Final answer
    x = 38,116.00

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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.