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Finding the Fourth Proportional to 34,266, 51,399.90 and 10,892.43

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Solution

The fourth proportional to 34,266, 51,399.90 and 10,892.43 is: 16,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266 : 51,399.90 = 10,892.43 : x
  2. Step 2: Convert to fraction form
    34,266/51,399.90 = 10,892.43/x
  3. Step 3: Cross multiply
    34,266x = 51,399.90 × 10,892.43
  4. Step 4: Simplify right side
    34,266x = 559,869,812.76
  5. Step 5: Solve for x
    x = 559,869,812.76/34,266
  6. Step 6: Final answer
    x = 16,338.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.