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Finding the Fourth Proportional to 29,929.14, 41,301.90 and 16,500.42

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Solution

The fourth proportional to 29,929.14, 41,301.90 and 16,500.42 is: 22,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929.14 : 41,301.90 = 16,500.42 : x
  2. Step 2: Convert to fraction form
    29,929.14/41,301.90 = 16,500.42/x
  3. Step 3: Cross multiply
    29,929.14x = 41,301.90 × 16,500.42
  4. Step 4: Simplify right side
    29,929.14x = 681,498,696.80
  5. Step 5: Solve for x
    x = 681,498,696.80/29,929.14
  6. Step 6: Final answer
    x = 22,770.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.