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Finding the Fourth Proportional to 27,961.80, 38,592.81 and 16,033.20

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Solution

The fourth proportional to 27,961.80, 38,592.81 and 16,033.20 is: 22,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.80 : 38,592.81 = 16,033.20 : x
  2. Step 2: Convert to fraction form
    27,961.80/38,592.81 = 16,033.20/x
  3. Step 3: Cross multiply
    27,961.80x = 38,592.81 × 16,033.20
  4. Step 4: Simplify right side
    27,961.80x = 618,766,241.29
  5. Step 5: Solve for x
    x = 618,766,241.29/27,961.80
  6. Step 6: Final answer
    x = 22,128.98

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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.