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Finding the Fourth Proportional to 34,162, 51,251.64 and 9,538

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Solution

The fourth proportional to 34,162, 51,251.64 and 9,538 is: 14,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162 : 51,251.64 = 9,538 : x
  2. Step 2: Convert to fraction form
    34,162/51,251.64 = 9,538/x
  3. Step 3: Cross multiply
    34,162x = 51,251.64 × 9,538
  4. Step 4: Simplify right side
    34,162x = 488,838,142.32
  5. Step 5: Solve for x
    x = 488,838,142.32/34,162
  6. Step 6: Final answer
    x = 14,309.41

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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.