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Finding the Fourth Proportional to 68,553.78, 102,830.47 and 24,169.83

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Solution

The fourth proportional to 68,553.78, 102,830.47 and 24,169.83 is: 36,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,553.78 : 102,830.47 = 24,169.83 : x
  2. Step 2: Convert to fraction form
    68,553.78/102,830.47 = 24,169.83/x
  3. Step 3: Cross multiply
    68,553.78x = 102,830.47 × 24,169.83
  4. Step 4: Simplify right side
    68,553.78x = 2,485,395,111.10
  5. Step 5: Solve for x
    x = 2,485,395,111.10/68,553.78
  6. Step 6: Final answer
    x = 36,254.68

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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.