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Finding the Fourth Proportional to 49,708, 68,597.04 and 27,352

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Solution

The fourth proportional to 49,708, 68,597.04 and 27,352 is: 37,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,708 : 68,597.04 = 27,352 : x
  2. Step 2: Convert to fraction form
    49,708/68,597.04 = 27,352/x
  3. Step 3: Cross multiply
    49,708x = 68,597.04 × 27,352
  4. Step 4: Simplify right side
    49,708x = 1,876,266,238.08
  5. Step 5: Solve for x
    x = 1,876,266,238.08/49,708
  6. Step 6: Final answer
    x = 37,745.76

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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.