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Finding the Fourth Proportional to 49,751.40, 68,654.70 and 27,089.82

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Solution

The fourth proportional to 49,751.40, 68,654.70 and 27,089.82 is: 37,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.40 : 68,654.70 = 27,089.82 : x
  2. Step 2: Convert to fraction form
    49,751.40/68,654.70 = 27,089.82/x
  3. Step 3: Cross multiply
    49,751.40x = 68,654.70 × 27,089.82
  4. Step 4: Simplify right side
    49,751.40x = 1,859,843,465.15
  5. Step 5: Solve for x
    x = 1,859,843,465.15/49,751.40
  6. Step 6: Final answer
    x = 37,382.74

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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.