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Finding the Fourth Proportional to 29,790, 41,110.32 and 16,542

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Solution

The fourth proportional to 29,790, 41,110.32 and 16,542 is: 22,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790 : 41,110.32 = 16,542 : x
  2. Step 2: Convert to fraction form
    29,790/41,110.32 = 16,542/x
  3. Step 3: Cross multiply
    29,790x = 41,110.32 × 16,542
  4. Step 4: Simplify right side
    29,790x = 680,046,913.44
  5. Step 5: Solve for x
    x = 680,046,913.44/29,790
  6. Step 6: Final answer
    x = 22,828.03

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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.