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Finding the Fourth Proportional to 68,471.80, 102,715.70 and 21,729.40

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Solution

The fourth proportional to 68,471.80, 102,715.70 and 21,729.40 is: 32,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.80 : 102,715.70 = 21,729.40 : x
  2. Step 2: Convert to fraction form
    68,471.80/102,715.70 = 21,729.40/x
  3. Step 3: Cross multiply
    68,471.80x = 102,715.70 × 21,729.40
  4. Step 4: Simplify right side
    68,471.80x = 2,231,950,531.58
  5. Step 5: Solve for x
    x = 2,231,950,531.58/68,471.80
  6. Step 6: Final answer
    x = 32,596.64

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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.