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Finding the Fourth Proportional to 34,369.12, 51,542.70 and 10,990

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Solution

The fourth proportional to 34,369.12, 51,542.70 and 10,990 is: 16,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,369.12 : 51,542.70 = 10,990 : x
  2. Step 2: Convert to fraction form
    34,369.12/51,542.70 = 10,990/x
  3. Step 3: Cross multiply
    34,369.12x = 51,542.70 × 10,990
  4. Step 4: Simplify right side
    34,369.12x = 566,454,273
  5. Step 5: Solve for x
    x = 566,454,273/34,369.12
  6. Step 6: Final answer
    x = 16,481.49

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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.