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Finding the Fourth Proportional to 109,524.80, 164,297.22 and 30,638.80

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Solution

The fourth proportional to 109,524.80, 164,297.22 and 30,638.80 is: 45,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524.80 : 164,297.22 = 30,638.80 : x
  2. Step 2: Convert to fraction form
    109,524.80/164,297.22 = 30,638.80/x
  3. Step 3: Cross multiply
    109,524.80x = 164,297.22 × 30,638.80
  4. Step 4: Simplify right side
    109,524.80x = 5,033,869,253.39
  5. Step 5: Solve for x
    x = 5,033,869,253.39/109,524.80
  6. Step 6: Final answer
    x = 45,961.00

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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.