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Finding the Fourth Proportional to 37,471.20, 56,198.70 and 16,411.20

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Solution

The fourth proportional to 37,471.20, 56,198.70 and 16,411.20 is: 24,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.20 : 56,198.70 = 16,411.20 : x
  2. Step 2: Convert to fraction form
    37,471.20/56,198.70 = 16,411.20/x
  3. Step 3: Cross multiply
    37,471.20x = 56,198.70 × 16,411.20
  4. Step 4: Simplify right side
    37,471.20x = 922,288,105.44
  5. Step 5: Solve for x
    x = 922,288,105.44/37,471.20
  6. Step 6: Final answer
    x = 24,613.25

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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.