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Finding the Fourth Proportional to 49,535, 68,359.50 and 27,179

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Solution

The fourth proportional to 49,535, 68,359.50 and 27,179 is: 37,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,535 : 68,359.50 = 27,179 : x
  2. Step 2: Convert to fraction form
    49,535/68,359.50 = 27,179/x
  3. Step 3: Cross multiply
    49,535x = 68,359.50 × 27,179
  4. Step 4: Simplify right side
    49,535x = 1,857,942,850.50
  5. Step 5: Solve for x
    x = 1,857,942,850.50/49,535
  6. Step 6: Final answer
    x = 37,507.68

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