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Finding the Fourth Proportional to 45,204, 67,806.80 and 17,137.12

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Solution

The fourth proportional to 45,204, 67,806.80 and 17,137.12 is: 25,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,204 : 67,806.80 = 17,137.12 : x
  2. Step 2: Convert to fraction form
    45,204/67,806.80 = 17,137.12/x
  3. Step 3: Cross multiply
    45,204x = 67,806.80 × 17,137.12
  4. Step 4: Simplify right side
    45,204x = 1,162,013,268.42
  5. Step 5: Solve for x
    x = 1,162,013,268.42/45,204
  6. Step 6: Final answer
    x = 25,705.98

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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.