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Finding the Fourth Proportional to 29,671.32, 40,944.84 and 16,239.97

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Solution

The fourth proportional to 29,671.32, 40,944.84 and 16,239.97 is: 22,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671.32 : 40,944.84 = 16,239.97 : x
  2. Step 2: Convert to fraction form
    29,671.32/40,944.84 = 16,239.97/x
  3. Step 3: Cross multiply
    29,671.32x = 40,944.84 × 16,239.97
  4. Step 4: Simplify right side
    29,671.32x = 664,942,973.25
  5. Step 5: Solve for x
    x = 664,942,973.25/29,671.32
  6. Step 6: Final answer
    x = 22,410.29

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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.