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Finding the Fourth Proportional to 49,359, 68,116.38 and 27,003.48

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Solution

The fourth proportional to 49,359, 68,116.38 and 27,003.48 is: 37,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359 : 68,116.38 = 27,003.48 : x
  2. Step 2: Convert to fraction form
    49,359/68,116.38 = 27,003.48/x
  3. Step 3: Cross multiply
    49,359x = 68,116.38 × 27,003.48
  4. Step 4: Simplify right side
    49,359x = 1,839,379,305.00
  5. Step 5: Solve for x
    x = 1,839,379,305.00/49,359
  6. Step 6: Final answer
    x = 37,265.33

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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.