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Finding the Fourth Proportional to 68,166.05, 102,254.54 and 23,791.82

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Solution

The fourth proportional to 68,166.05, 102,254.54 and 23,791.82 is: 35,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,166.05 : 102,254.54 = 23,791.82 : x
  2. Step 2: Convert to fraction form
    68,166.05/102,254.54 = 23,791.82/x
  3. Step 3: Cross multiply
    68,166.05x = 102,254.54 × 23,791.82
  4. Step 4: Simplify right side
    68,166.05x = 2,432,820,979.63
  5. Step 5: Solve for x
    x = 2,432,820,979.63/68,166.05
  6. Step 6: Final answer
    x = 35,689.63

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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.