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Finding the Fourth Proportional to 68,471.20, 102,706.80 and 31,016.80

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Solution

The fourth proportional to 68,471.20, 102,706.80 and 31,016.80 is: 46,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.20 : 102,706.80 = 31,016.80 : x
  2. Step 2: Convert to fraction form
    68,471.20/102,706.80 = 31,016.80/x
  3. Step 3: Cross multiply
    68,471.20x = 102,706.80 × 31,016.80
  4. Step 4: Simplify right side
    68,471.20x = 3,185,636,274.24
  5. Step 5: Solve for x
    x = 3,185,636,274.24/68,471.20
  6. Step 6: Final answer
    x = 46,525.20

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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.