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Finding the Fourth Proportional to 49,412.97, 68,173.11 and 27,900.18

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Solution

The fourth proportional to 49,412.97, 68,173.11 and 27,900.18 is: 38,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412.97 : 68,173.11 = 27,900.18 : x
  2. Step 2: Convert to fraction form
    49,412.97/68,173.11 = 27,900.18/x
  3. Step 3: Cross multiply
    49,412.97x = 68,173.11 × 27,900.18
  4. Step 4: Simplify right side
    49,412.97x = 1,902,042,040.16
  5. Step 5: Solve for x
    x = 1,902,042,040.16/49,412.97
  6. Step 6: Final answer
    x = 38,492.77

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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.