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Finding the Fourth Proportional to 48,602.62, 67,072.44 and 27,382.24

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Solution

The fourth proportional to 48,602.62, 67,072.44 and 27,382.24 is: 37,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602.62 : 67,072.44 = 27,382.24 : x
  2. Step 2: Convert to fraction form
    48,602.62/67,072.44 = 27,382.24/x
  3. Step 3: Cross multiply
    48,602.62x = 67,072.44 × 27,382.24
  4. Step 4: Simplify right side
    48,602.62x = 1,836,593,649.47
  5. Step 5: Solve for x
    x = 1,836,593,649.47/48,602.62
  6. Step 6: Final answer
    x = 37,787.96

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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.