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Finding the Fourth Proportional to 48,192, 66,546 and 30,316.92

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Solution

The fourth proportional to 48,192, 66,546 and 30,316.92 is: 41,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192 : 66,546 = 30,316.92 : x
  2. Step 2: Convert to fraction form
    48,192/66,546 = 30,316.92/x
  3. Step 3: Cross multiply
    48,192x = 66,546 × 30,316.92
  4. Step 4: Simplify right side
    48,192x = 2,017,469,758.32
  5. Step 5: Solve for x
    x = 2,017,469,758.32/48,192
  6. Step 6: Final answer
    x = 41,863.17

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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.