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Finding the Fourth Proportional to 67,216.63, 100,846.13 and 31,676.51

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Solution

The fourth proportional to 67,216.63, 100,846.13 and 31,676.51 is: 47,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,216.63 : 100,846.13 = 31,676.51 : x
  2. Step 2: Convert to fraction form
    67,216.63/100,846.13 = 31,676.51/x
  3. Step 3: Cross multiply
    67,216.63x = 100,846.13 × 31,676.51
  4. Step 4: Simplify right side
    67,216.63x = 3,194,453,114.10
  5. Step 5: Solve for x
    x = 3,194,453,114.10/67,216.63
  6. Step 6: Final answer
    x = 47,524.75

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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.