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Finding the Fourth Proportional to 47,692.36, 65,818.54 and 27,550.09

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Solution

The fourth proportional to 47,692.36, 65,818.54 and 27,550.09 is: 38,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.36 : 65,818.54 = 27,550.09 : x
  2. Step 2: Convert to fraction form
    47,692.36/65,818.54 = 27,550.09/x
  3. Step 3: Cross multiply
    47,692.36x = 65,818.54 × 27,550.09
  4. Step 4: Simplify right side
    47,692.36x = 1,813,306,631.79
  5. Step 5: Solve for x
    x = 1,813,306,631.79/47,692.36
  6. Step 6: Final answer
    x = 38,020.90

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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.