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Finding the Fourth Proportional to 68,435.20, 102,674.79 and 32,899.10

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Solution

The fourth proportional to 68,435.20, 102,674.79 and 32,899.10 is: 49,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,435.20 : 102,674.79 = 32,899.10 : x
  2. Step 2: Convert to fraction form
    68,435.20/102,674.79 = 32,899.10/x
  3. Step 3: Cross multiply
    68,435.20x = 102,674.79 × 32,899.10
  4. Step 4: Simplify right side
    68,435.20x = 3,377,907,670.32
  5. Step 5: Solve for x
    x = 3,377,907,670.32/68,435.20
  6. Step 6: Final answer
    x = 49,359.22

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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.