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Finding the Fourth Proportional to 46,311.64, 63,912.76 and 26,168

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Solution

The fourth proportional to 46,311.64, 63,912.76 and 26,168 is: 36,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,311.64 : 63,912.76 = 26,168 : x
  2. Step 2: Convert to fraction form
    46,311.64/63,912.76 = 26,168/x
  3. Step 3: Cross multiply
    46,311.64x = 63,912.76 × 26,168
  4. Step 4: Simplify right side
    46,311.64x = 1,672,469,103.68
  5. Step 5: Solve for x
    x = 1,672,469,103.68/46,311.64
  6. Step 6: Final answer
    x = 36,113.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.