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Finding the Fourth Proportional to 61,194.60, 91,794.16 and 16,824.82

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Solution

The fourth proportional to 61,194.60, 91,794.16 and 16,824.82 is: 25,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,194.60 : 91,794.16 = 16,824.82 : x
  2. Step 2: Convert to fraction form
    61,194.60/91,794.16 = 16,824.82/x
  3. Step 3: Cross multiply
    61,194.60x = 91,794.16 × 16,824.82
  4. Step 4: Simplify right side
    61,194.60x = 1,544,420,219.05
  5. Step 5: Solve for x
    x = 1,544,420,219.05/61,194.60
  6. Step 6: Final answer
    x = 25,237.85

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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.