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Finding the Fourth Proportional to 49,385, 68,151.30 and 27,029

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Solution

The fourth proportional to 49,385, 68,151.30 and 27,029 is: 37,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,385 : 68,151.30 = 27,029 : x
  2. Step 2: Convert to fraction form
    49,385/68,151.30 = 27,029/x
  3. Step 3: Cross multiply
    49,385x = 68,151.30 × 27,029
  4. Step 4: Simplify right side
    49,385x = 1,842,061,487.70
  5. Step 5: Solve for x
    x = 1,842,061,487.70/49,385
  6. Step 6: Final answer
    x = 37,300.02

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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.