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Finding the Fourth Proportional to 36,922.80, 55,384.20 and 13,546.20

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Solution

The fourth proportional to 36,922.80, 55,384.20 and 13,546.20 is: 20,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922.80 : 55,384.20 = 13,546.20 : x
  2. Step 2: Convert to fraction form
    36,922.80/55,384.20 = 13,546.20/x
  3. Step 3: Cross multiply
    36,922.80x = 55,384.20 × 13,546.20
  4. Step 4: Simplify right side
    36,922.80x = 750,245,450.04
  5. Step 5: Solve for x
    x = 750,245,450.04/36,922.80
  6. Step 6: Final answer
    x = 20,319.30

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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.