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Finding the Fourth Proportional to 68,164.65, 102,264.03 and 23,791.77

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Solution

The fourth proportional to 68,164.65, 102,264.03 and 23,791.77 is: 35,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.65 : 102,264.03 = 23,791.77 : x
  2. Step 2: Convert to fraction form
    68,164.65/102,264.03 = 23,791.77/x
  3. Step 3: Cross multiply
    68,164.65x = 102,264.03 × 23,791.77
  4. Step 4: Simplify right side
    68,164.65x = 2,433,042,281.03
  5. Step 5: Solve for x
    x = 2,433,042,281.03/68,164.65
  6. Step 6: Final answer
    x = 35,693.61

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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.