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Finding the Fourth Proportional to 49,147.81, 67,823.81 and 26,791.81

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Solution

The fourth proportional to 49,147.81, 67,823.81 and 26,791.81 is: 36,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.81 : 67,823.81 = 26,791.81 : x
  2. Step 2: Convert to fraction form
    49,147.81/67,823.81 = 26,791.81/x
  3. Step 3: Cross multiply
    49,147.81x = 67,823.81 × 26,791.81
  4. Step 4: Simplify right side
    49,147.81x = 1,817,122,291.88
  5. Step 5: Solve for x
    x = 1,817,122,291.88/49,147.81
  6. Step 6: Final answer
    x = 36,972.60

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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.