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Finding the Fourth Proportional to 48,279.84, 66,627 and 27,057.84

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Solution

The fourth proportional to 48,279.84, 66,627 and 27,057.84 is: 37,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,279.84 : 66,627 = 27,057.84 : x
  2. Step 2: Convert to fraction form
    48,279.84/66,627 = 27,057.84/x
  3. Step 3: Cross multiply
    48,279.84x = 66,627 × 27,057.84
  4. Step 4: Simplify right side
    48,279.84x = 1,802,782,705.68
  5. Step 5: Solve for x
    x = 1,802,782,705.68/48,279.84
  6. Step 6: Final answer
    x = 37,340.28

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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.