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Finding the Fourth Proportional to 20,053.20, 30,079.80 and 16,408.20

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Solution

The fourth proportional to 20,053.20, 30,079.80 and 16,408.20 is: 24,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.20 : 30,079.80 = 16,408.20 : x
  2. Step 2: Convert to fraction form
    20,053.20/30,079.80 = 16,408.20/x
  3. Step 3: Cross multiply
    20,053.20x = 30,079.80 × 16,408.20
  4. Step 4: Simplify right side
    20,053.20x = 493,555,374.36
  5. Step 5: Solve for x
    x = 493,555,374.36/20,053.20
  6. Step 6: Final answer
    x = 24,612.30

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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.