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Finding the Fourth Proportional to 47,692.46, 65,818.58 and 27,550.19

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Solution

The fourth proportional to 47,692.46, 65,818.58 and 27,550.19 is: 38,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.46 : 65,818.58 = 27,550.19 : x
  2. Step 2: Convert to fraction form
    47,692.46/65,818.58 = 27,550.19/x
  3. Step 3: Cross multiply
    47,692.46x = 65,818.58 × 27,550.19
  4. Step 4: Simplify right side
    47,692.46x = 1,813,314,411.33
  5. Step 5: Solve for x
    x = 1,813,314,411.33/47,692.46
  6. Step 6: Final answer
    x = 38,020.99

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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.