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Finding the Fourth Proportional to 29,493.97, 40,702.42 and 16,065.95

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Solution

The fourth proportional to 29,493.97, 40,702.42 and 16,065.95 is: 22,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493.97 : 40,702.42 = 16,065.95 : x
  2. Step 2: Convert to fraction form
    29,493.97/40,702.42 = 16,065.95/x
  3. Step 3: Cross multiply
    29,493.97x = 40,702.42 × 16,065.95
  4. Step 4: Simplify right side
    29,493.97x = 653,922,906.35
  5. Step 5: Solve for x
    x = 653,922,906.35/29,493.97
  6. Step 6: Final answer
    x = 22,171.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.