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Finding the Fourth Proportional to 29,781.54, 41,098.96 and 16,354

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Solution

The fourth proportional to 29,781.54, 41,098.96 and 16,354 is: 22,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.54 : 41,098.96 = 16,354 : x
  2. Step 2: Convert to fraction form
    29,781.54/41,098.96 = 16,354/x
  3. Step 3: Cross multiply
    29,781.54x = 41,098.96 × 16,354
  4. Step 4: Simplify right side
    29,781.54x = 672,132,391.84
  5. Step 5: Solve for x
    x = 672,132,391.84/29,781.54
  6. Step 6: Final answer
    x = 22,568.76

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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.