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Finding the Fourth Proportional to 49,367.50, 68,123.41 and 27,859.25

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Solution

The fourth proportional to 49,367.50, 68,123.41 and 27,859.25 is: 38,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,367.50 : 68,123.41 = 27,859.25 : x
  2. Step 2: Convert to fraction form
    49,367.50/68,123.41 = 27,859.25/x
  3. Step 3: Cross multiply
    49,367.50x = 68,123.41 × 27,859.25
  4. Step 4: Simplify right side
    49,367.50x = 1,897,867,210.70
  5. Step 5: Solve for x
    x = 1,897,867,210.70/49,367.50
  6. Step 6: Final answer
    x = 38,443.66

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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.