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Finding the Fourth Proportional to 49,791.30, 74,708.91 and 26,412

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Solution

The fourth proportional to 49,791.30, 74,708.91 and 26,412 is: 39,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,791.30 : 74,708.91 = 26,412 : x
  2. Step 2: Convert to fraction form
    49,791.30/74,708.91 = 26,412/x
  3. Step 3: Cross multiply
    49,791.30x = 74,708.91 × 26,412
  4. Step 4: Simplify right side
    49,791.30x = 1,973,211,730.92
  5. Step 5: Solve for x
    x = 1,973,211,730.92/49,791.30
  6. Step 6: Final answer
    x = 39,629.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.