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Finding the Fourth Proportional to 34,802, 52,204.92 and 10,179.92

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Solution

The fourth proportional to 34,802, 52,204.92 and 10,179.92 is: 15,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802 : 52,204.92 = 10,179.92 : x
  2. Step 2: Convert to fraction form
    34,802/52,204.92 = 10,179.92/x
  3. Step 3: Cross multiply
    34,802x = 52,204.92 × 10,179.92
  4. Step 4: Simplify right side
    34,802x = 531,441,909.21
  5. Step 5: Solve for x
    x = 531,441,909.21/34,802
  6. Step 6: Final answer
    x = 15,270.44

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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.