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Finding the Fourth Proportional to 56,274.75, 84,414.96 and 16,832.21

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Solution

The fourth proportional to 56,274.75, 84,414.96 and 16,832.21 is: 25,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,274.75 : 84,414.96 = 16,832.21 : x
  2. Step 2: Convert to fraction form
    56,274.75/84,414.96 = 16,832.21/x
  3. Step 3: Cross multiply
    56,274.75x = 84,414.96 × 16,832.21
  4. Step 4: Simplify right side
    56,274.75x = 1,420,889,911.79
  5. Step 5: Solve for x
    x = 1,420,889,911.79/56,274.75
  6. Step 6: Final answer
    x = 25,249.16

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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.