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Finding the Fourth Proportional to 48,845, 67,406.10 and 27,623.82

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Solution

The fourth proportional to 48,845, 67,406.10 and 27,623.82 is: 38,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845 : 67,406.10 = 27,623.82 : x
  2. Step 2: Convert to fraction form
    48,845/67,406.10 = 27,623.82/x
  3. Step 3: Cross multiply
    48,845x = 67,406.10 × 27,623.82
  4. Step 4: Simplify right side
    48,845x = 1,862,013,973.30
  5. Step 5: Solve for x
    x = 1,862,013,973.30/48,845
  6. Step 6: Final answer
    x = 38,120.87

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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.