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Finding the Fourth Proportional to 34,954.50, 48,228.84 and 20,416.44

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Solution

The fourth proportional to 34,954.50, 48,228.84 and 20,416.44 is: 28,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954.50 : 48,228.84 = 20,416.44 : x
  2. Step 2: Convert to fraction form
    34,954.50/48,228.84 = 20,416.44/x
  3. Step 3: Cross multiply
    34,954.50x = 48,228.84 × 20,416.44
  4. Step 4: Simplify right side
    34,954.50x = 984,661,218.13
  5. Step 5: Solve for x
    x = 984,661,218.13/34,954.50
  6. Step 6: Final answer
    x = 28,169.80

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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.