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Finding the Fourth Proportional to 33,046.30, 49,569.54 and 23,229.50

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Solution

The fourth proportional to 33,046.30, 49,569.54 and 23,229.50 is: 34,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.30 : 49,569.54 = 23,229.50 : x
  2. Step 2: Convert to fraction form
    33,046.30/49,569.54 = 23,229.50/x
  3. Step 3: Cross multiply
    33,046.30x = 49,569.54 × 23,229.50
  4. Step 4: Simplify right side
    33,046.30x = 1,151,475,629.43
  5. Step 5: Solve for x
    x = 1,151,475,629.43/33,046.30
  6. Step 6: Final answer
    x = 34,844.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.