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Finding the Fourth Proportional to 68,154.91, 102,226.49 and 41,494.00

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Solution

The fourth proportional to 68,154.91, 102,226.49 and 41,494.00 is: 62,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154.91 : 102,226.49 = 41,494.00 : x
  2. Step 2: Convert to fraction form
    68,154.91/102,226.49 = 41,494.00/x
  3. Step 3: Cross multiply
    68,154.91x = 102,226.49 × 41,494.00
  4. Step 4: Simplify right side
    68,154.91x = 4,241,785,464.93
  5. Step 5: Solve for x
    x = 4,241,785,464.93/68,154.91
  6. Step 6: Final answer
    x = 62,237.42

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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.