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Finding the Fourth Proportional to 49,902.75, 68,870.12 and 27,551.07

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Solution

The fourth proportional to 49,902.75, 68,870.12 and 27,551.07 is: 38,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.75 : 68,870.12 = 27,551.07 : x
  2. Step 2: Convert to fraction form
    49,902.75/68,870.12 = 27,551.07/x
  3. Step 3: Cross multiply
    49,902.75x = 68,870.12 × 27,551.07
  4. Step 4: Simplify right side
    49,902.75x = 1,897,445,359.27
  5. Step 5: Solve for x
    x = 1,897,445,359.27/49,902.75
  6. Step 6: Final answer
    x = 38,022.86

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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.