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Finding the Fourth Proportional to 31,126.21, 46,682.20 and 8,939.41

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Solution

The fourth proportional to 31,126.21, 46,682.20 and 8,939.41 is: 13,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.21 : 46,682.20 = 8,939.41 : x
  2. Step 2: Convert to fraction form
    31,126.21/46,682.20 = 8,939.41/x
  3. Step 3: Cross multiply
    31,126.21x = 46,682.20 × 8,939.41
  4. Step 4: Simplify right side
    31,126.21x = 417,311,325.50
  5. Step 5: Solve for x
    x = 417,311,325.50/31,126.21
  6. Step 6: Final answer
    x = 13,407.07

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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.