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Finding the Fourth Proportional to 49,700, 68,586 and 27,344

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Solution

The fourth proportional to 49,700, 68,586 and 27,344 is: 37,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,700 : 68,586 = 27,344 : x
  2. Step 2: Convert to fraction form
    49,700/68,586 = 27,344/x
  3. Step 3: Cross multiply
    49,700x = 68,586 × 27,344
  4. Step 4: Simplify right side
    49,700x = 1,875,415,584
  5. Step 5: Solve for x
    x = 1,875,415,584/49,700
  6. Step 6: Final answer
    x = 37,734.72

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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.