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Finding the Fourth Proportional to 49,506, 68,318.28 and 27,150

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Solution

The fourth proportional to 49,506, 68,318.28 and 27,150 is: 37,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506 : 68,318.28 = 27,150 : x
  2. Step 2: Convert to fraction form
    49,506/68,318.28 = 27,150/x
  3. Step 3: Cross multiply
    49,506x = 68,318.28 × 27,150
  4. Step 4: Simplify right side
    49,506x = 1,854,841,302
  5. Step 5: Solve for x
    x = 1,854,841,302/49,506
  6. Step 6: Final answer
    x = 37,467

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.