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Finding the Fourth Proportional to 68,353.20, 102,529.80 and 18,433.20

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Solution

The fourth proportional to 68,353.20, 102,529.80 and 18,433.20 is: 27,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,353.20 : 102,529.80 = 18,433.20 : x
  2. Step 2: Convert to fraction form
    68,353.20/102,529.80 = 18,433.20/x
  3. Step 3: Cross multiply
    68,353.20x = 102,529.80 × 18,433.20
  4. Step 4: Simplify right side
    68,353.20x = 1,889,952,309.36
  5. Step 5: Solve for x
    x = 1,889,952,309.36/68,353.20
  6. Step 6: Final answer
    x = 27,649.80

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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.