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Finding the Fourth Proportional to 49,370, 68,130.65 and 27,014

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Solution

The fourth proportional to 49,370, 68,130.65 and 27,014 is: 37,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,370 : 68,130.65 = 27,014 : x
  2. Step 2: Convert to fraction form
    49,370/68,130.65 = 27,014/x
  3. Step 3: Cross multiply
    49,370x = 68,130.65 × 27,014
  4. Step 4: Simplify right side
    49,370x = 1,840,481,244.03
  5. Step 5: Solve for x
    x = 1,840,481,244.03/49,370
  6. Step 6: Final answer
    x = 37,279.34

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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.