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Finding the Fourth Proportional to 48,229.84, 66,558.38 and 27,013.44

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Solution

The fourth proportional to 48,229.84, 66,558.38 and 27,013.44 is: 37,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,229.84 : 66,558.38 = 27,013.44 : x
  2. Step 2: Convert to fraction form
    48,229.84/66,558.38 = 27,013.44/x
  3. Step 3: Cross multiply
    48,229.84x = 66,558.38 × 27,013.44
  4. Step 4: Simplify right side
    48,229.84x = 1,797,970,804.63
  5. Step 5: Solve for x
    x = 1,797,970,804.63/48,229.84
  6. Step 6: Final answer
    x = 37,279.22

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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.