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Finding the Fourth Proportional to 29,834, 41,172.11 and 17,892.98

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Solution

The fourth proportional to 29,834, 41,172.11 and 17,892.98 is: 24,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834 : 41,172.11 = 17,892.98 : x
  2. Step 2: Convert to fraction form
    29,834/41,172.11 = 17,892.98/x
  3. Step 3: Cross multiply
    29,834x = 41,172.11 × 17,892.98
  4. Step 4: Simplify right side
    29,834x = 736,691,740.79
  5. Step 5: Solve for x
    x = 736,691,740.79/29,834
  6. Step 6: Final answer
    x = 24,693.03

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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.