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Finding the Fourth Proportional to 37,468.20, 56,194.20 and 16,408.20

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Solution

The fourth proportional to 37,468.20, 56,194.20 and 16,408.20 is: 24,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.20 : 56,194.20 = 16,408.20 : x
  2. Step 2: Convert to fraction form
    37,468.20/56,194.20 = 16,408.20/x
  3. Step 3: Cross multiply
    37,468.20x = 56,194.20 × 16,408.20
  4. Step 4: Simplify right side
    37,468.20x = 922,045,672.44
  5. Step 5: Solve for x
    x = 922,045,672.44/37,468.20
  6. Step 6: Final answer
    x = 24,608.75

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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.