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Finding the Fourth Proportional to 29,016, 40,046.94 and 16,448.04

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Solution

The fourth proportional to 29,016, 40,046.94 and 16,448.04 is: 22,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 40,046.94 = 16,448.04 : x
  2. Step 2: Convert to fraction form
    29,016/40,046.94 = 16,448.04/x
  3. Step 3: Cross multiply
    29,016x = 40,046.94 × 16,448.04
  4. Step 4: Simplify right side
    29,016x = 658,693,671.00
  5. Step 5: Solve for x
    x = 658,693,671.00/29,016
  6. Step 6: Final answer
    x = 22,701.05

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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.