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Finding the Fourth Proportional to 29,822.94, 41,155.75 and 17,076.33

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Solution

The fourth proportional to 29,822.94, 41,155.75 and 17,076.33 is: 23,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.94 : 41,155.75 = 17,076.33 : x
  2. Step 2: Convert to fraction form
    29,822.94/41,155.75 = 17,076.33/x
  3. Step 3: Cross multiply
    29,822.94x = 41,155.75 × 17,076.33
  4. Step 4: Simplify right side
    29,822.94x = 702,789,168.40
  5. Step 5: Solve for x
    x = 702,789,168.40/29,822.94
  6. Step 6: Final answer
    x = 23,565.39

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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.