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Finding the Fourth Proportional to 45,566, 68,349 and 12,734

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Solution

The fourth proportional to 45,566, 68,349 and 12,734 is: 19,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,566 : 68,349 = 12,734 : x
  2. Step 2: Convert to fraction form
    45,566/68,349 = 12,734/x
  3. Step 3: Cross multiply
    45,566x = 68,349 × 12,734
  4. Step 4: Simplify right side
    45,566x = 870,356,166
  5. Step 5: Solve for x
    x = 870,356,166/45,566
  6. Step 6: Final answer
    x = 19,101

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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.