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Finding the Fourth Proportional to 68,424.16, 102,446.88 and 35,072.32

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Solution

The fourth proportional to 68,424.16, 102,446.88 and 35,072.32 is: 52,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,424.16 : 102,446.88 = 35,072.32 : x
  2. Step 2: Convert to fraction form
    68,424.16/102,446.88 = 35,072.32/x
  3. Step 3: Cross multiply
    68,424.16x = 102,446.88 × 35,072.32
  4. Step 4: Simplify right side
    68,424.16x = 3,593,049,758.36
  5. Step 5: Solve for x
    x = 3,593,049,758.36/68,424.16
  6. Step 6: Final answer
    x = 52,511.42

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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.