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Finding the Fourth Proportional to 49,178.88, 67,863.15 and 27,954

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Solution

The fourth proportional to 49,178.88, 67,863.15 and 27,954 is: 38,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178.88 : 67,863.15 = 27,954 : x
  2. Step 2: Convert to fraction form
    49,178.88/67,863.15 = 27,954/x
  3. Step 3: Cross multiply
    49,178.88x = 67,863.15 × 27,954
  4. Step 4: Simplify right side
    49,178.88x = 1,897,046,495.10
  5. Step 5: Solve for x
    x = 1,897,046,495.10/49,178.88
  6. Step 6: Final answer
    x = 38,574.41

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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.