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Finding the Fourth Proportional to 68,269.92, 102,468.24 and 35,014.56

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Solution

The fourth proportional to 68,269.92, 102,468.24 and 35,014.56 is: 52,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,269.92 : 102,468.24 = 35,014.56 : x
  2. Step 2: Convert to fraction form
    68,269.92/102,468.24 = 35,014.56/x
  3. Step 3: Cross multiply
    68,269.92x = 102,468.24 × 35,014.56
  4. Step 4: Simplify right side
    68,269.92x = 3,587,880,337.57
  5. Step 5: Solve for x
    x = 3,587,880,337.57/68,269.92
  6. Step 6: Final answer
    x = 52,554.34

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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.