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Finding the Fourth Proportional to 29,771, 41,084.14 and 16,523

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Solution

The fourth proportional to 29,771, 41,084.14 and 16,523 is: 22,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771 : 41,084.14 = 16,523 : x
  2. Step 2: Convert to fraction form
    29,771/41,084.14 = 16,523/x
  3. Step 3: Cross multiply
    29,771x = 41,084.14 × 16,523
  4. Step 4: Simplify right side
    29,771x = 678,833,245.22
  5. Step 5: Solve for x
    x = 678,833,245.22/29,771
  6. Step 6: Final answer
    x = 22,801.83

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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.