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Finding the Fourth Proportional to 48,893.84, 67,471.17 and 30,027.32

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Solution

The fourth proportional to 48,893.84, 67,471.17 and 30,027.32 is: 41,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893.84 : 67,471.17 = 30,027.32 : x
  2. Step 2: Convert to fraction form
    48,893.84/67,471.17 = 30,027.32/x
  3. Step 3: Cross multiply
    48,893.84x = 67,471.17 × 30,027.32
  4. Step 4: Simplify right side
    48,893.84x = 2,025,978,412.36
  5. Step 5: Solve for x
    x = 2,025,978,412.36/48,893.84
  6. Step 6: Final answer
    x = 41,436.27

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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.