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Finding the Fourth Proportional to 34,695, 52,079.96 and 17,201.84

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Solution

The fourth proportional to 34,695, 52,079.96 and 17,201.84 is: 25,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695 : 52,079.96 = 17,201.84 : x
  2. Step 2: Convert to fraction form
    34,695/52,079.96 = 17,201.84/x
  3. Step 3: Cross multiply
    34,695x = 52,079.96 × 17,201.84
  4. Step 4: Simplify right side
    34,695x = 895,870,921.73
  5. Step 5: Solve for x
    x = 895,870,921.73/34,695
  6. Step 6: Final answer
    x = 25,821.33

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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.