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Finding the Fourth Proportional to 29,959, 41,343.42 and 16,711

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Solution

The fourth proportional to 29,959, 41,343.42 and 16,711 is: 23,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959 : 41,343.42 = 16,711 : x
  2. Step 2: Convert to fraction form
    29,959/41,343.42 = 16,711/x
  3. Step 3: Cross multiply
    29,959x = 41,343.42 × 16,711
  4. Step 4: Simplify right side
    29,959x = 690,889,891.62
  5. Step 5: Solve for x
    x = 690,889,891.62/29,959
  6. Step 6: Final answer
    x = 23,061.18

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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.