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Finding the Fourth Proportional to 41,108.50, 61,662.75 and 13,406.50

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Solution

The fourth proportional to 41,108.50, 61,662.75 and 13,406.50 is: 20,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108.50 : 61,662.75 = 13,406.50 : x
  2. Step 2: Convert to fraction form
    41,108.50/61,662.75 = 13,406.50/x
  3. Step 3: Cross multiply
    41,108.50x = 61,662.75 × 13,406.50
  4. Step 4: Simplify right side
    41,108.50x = 826,681,657.88
  5. Step 5: Solve for x
    x = 826,681,657.88/41,108.50
  6. Step 6: Final answer
    x = 20,109.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.