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Finding the Fourth Proportional to 35,044.25, 48,361.11 and 22,469

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Solution

The fourth proportional to 35,044.25, 48,361.11 and 22,469 is: 31,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,044.25 : 48,361.11 = 22,469 : x
  2. Step 2: Convert to fraction form
    35,044.25/48,361.11 = 22,469/x
  3. Step 3: Cross multiply
    35,044.25x = 48,361.11 × 22,469
  4. Step 4: Simplify right side
    35,044.25x = 1,086,625,780.59
  5. Step 5: Solve for x
    x = 1,086,625,780.59/35,044.25
  6. Step 6: Final answer
    x = 31,007.25

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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.