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Finding the Fourth Proportional to 27,589, 41,409.40 and 14,450.80

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Solution

The fourth proportional to 27,589, 41,409.40 and 14,450.80 is: 21,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589 : 41,409.40 = 14,450.80 : x
  2. Step 2: Convert to fraction form
    27,589/41,409.40 = 14,450.80/x
  3. Step 3: Cross multiply
    27,589x = 41,409.40 × 14,450.80
  4. Step 4: Simplify right side
    27,589x = 598,398,957.52
  5. Step 5: Solve for x
    x = 598,398,957.52/27,589
  6. Step 6: Final answer
    x = 21,689.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.