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Finding the Fourth Proportional to 29,822.92, 41,156.69 and 17,078.38

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Solution

The fourth proportional to 29,822.92, 41,156.69 and 17,078.38 is: 23,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.92 : 41,156.69 = 17,078.38 : x
  2. Step 2: Convert to fraction form
    29,822.92/41,156.69 = 17,078.38/x
  3. Step 3: Cross multiply
    29,822.92x = 41,156.69 × 17,078.38
  4. Step 4: Simplify right side
    29,822.92x = 702,889,403.08
  5. Step 5: Solve for x
    x = 702,889,403.08/29,822.92
  6. Step 6: Final answer
    x = 23,568.77

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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.