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Finding the Fourth Proportional to 49,454.40, 68,246.97 and 26,794

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Solution

The fourth proportional to 49,454.40, 68,246.97 and 26,794 is: 36,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,454.40 : 68,246.97 = 26,794 : x
  2. Step 2: Convert to fraction form
    49,454.40/68,246.97 = 26,794/x
  3. Step 3: Cross multiply
    49,454.40x = 68,246.97 × 26,794
  4. Step 4: Simplify right side
    49,454.40x = 1,828,609,314.18
  5. Step 5: Solve for x
    x = 1,828,609,314.18/49,454.40
  6. Step 6: Final answer
    x = 36,975.66

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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.