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Finding the Fourth Proportional to 29,784.31, 41,103.84 and 16,355.41

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Solution

The fourth proportional to 29,784.31, 41,103.84 and 16,355.41 is: 22,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.31 : 41,103.84 = 16,355.41 : x
  2. Step 2: Convert to fraction form
    29,784.31/41,103.84 = 16,355.41/x
  3. Step 3: Cross multiply
    29,784.31x = 41,103.84 × 16,355.41
  4. Step 4: Simplify right side
    29,784.31x = 672,270,155.77
  5. Step 5: Solve for x
    x = 672,270,155.77/29,784.31
  6. Step 6: Final answer
    x = 22,571.29

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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.