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Finding the Fourth Proportional to 72,198.19, 108,284.86 and 19,611.91

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Solution

The fourth proportional to 72,198.19, 108,284.86 and 19,611.91 is: 29,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.19 : 108,284.86 = 19,611.91 : x
  2. Step 2: Convert to fraction form
    72,198.19/108,284.86 = 19,611.91/x
  3. Step 3: Cross multiply
    72,198.19x = 108,284.86 × 19,611.91
  4. Step 4: Simplify right side
    72,198.19x = 2,123,672,928.68
  5. Step 5: Solve for x
    x = 2,123,672,928.68/72,198.19
  6. Step 6: Final answer
    x = 29,414.49

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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.