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Finding the Fourth Proportional to 48,684.82, 67,197.24 and 27,476.38

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Solution

The fourth proportional to 48,684.82, 67,197.24 and 27,476.38 is: 37,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684.82 : 67,197.24 = 27,476.38 : x
  2. Step 2: Convert to fraction form
    48,684.82/67,197.24 = 27,476.38/x
  3. Step 3: Cross multiply
    48,684.82x = 67,197.24 × 27,476.38
  4. Step 4: Simplify right side
    48,684.82x = 1,846,336,901.19
  5. Step 5: Solve for x
    x = 1,846,336,901.19/48,684.82
  6. Step 6: Final answer
    x = 37,924.28

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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.