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Finding the Fourth Proportional to 41,108.63, 61,664.96 and 13,406.63

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Solution

The fourth proportional to 41,108.63, 61,664.96 and 13,406.63 is: 20,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108.63 : 61,664.96 = 13,406.63 : x
  2. Step 2: Convert to fraction form
    41,108.63/61,664.96 = 13,406.63/x
  3. Step 3: Cross multiply
    41,108.63x = 61,664.96 × 13,406.63
  4. Step 4: Simplify right side
    41,108.63x = 826,719,027.88
  5. Step 5: Solve for x
    x = 826,719,027.88/41,108.63
  6. Step 6: Final answer
    x = 20,110.60

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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.