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Finding the Fourth Proportional to 69,198, 103,726.26 and 24,205.94

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Solution

The fourth proportional to 69,198, 103,726.26 and 24,205.94 is: 36,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,198 : 103,726.26 = 24,205.94 : x
  2. Step 2: Convert to fraction form
    69,198/103,726.26 = 24,205.94/x
  3. Step 3: Cross multiply
    69,198x = 103,726.26 × 24,205.94
  4. Step 4: Simplify right side
    69,198x = 2,510,791,625.98
  5. Step 5: Solve for x
    x = 2,510,791,625.98/69,198
  6. Step 6: Final answer
    x = 36,284.16

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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.