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Finding the Fourth Proportional to 47,692.88, 65,824.33 and 27,546.14

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Solution

The fourth proportional to 47,692.88, 65,824.33 and 27,546.14 is: 38,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.88 : 65,824.33 = 27,546.14 : x
  2. Step 2: Convert to fraction form
    47,692.88/65,824.33 = 27,546.14/x
  3. Step 3: Cross multiply
    47,692.88x = 65,824.33 × 27,546.14
  4. Step 4: Simplify right side
    47,692.88x = 1,813,206,209.59
  5. Step 5: Solve for x
    x = 1,813,206,209.59/47,692.88
  6. Step 6: Final answer
    x = 38,018.38

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1.5x scale

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.