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Finding the Fourth Proportional to 61,198.05, 91,798.20 and 16,824.54

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Solution

The fourth proportional to 61,198.05, 91,798.20 and 16,824.54 is: 25,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.05 : 91,798.20 = 16,824.54 : x
  2. Step 2: Convert to fraction form
    61,198.05/91,798.20 = 16,824.54/x
  3. Step 3: Cross multiply
    61,198.05x = 91,798.20 × 16,824.54
  4. Step 4: Simplify right side
    61,198.05x = 1,544,462,487.83
  5. Step 5: Solve for x
    x = 1,544,462,487.83/61,198.05
  6. Step 6: Final answer
    x = 25,237.12

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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.