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Finding the Fourth Proportional to 68,506.20, 102,710.70 and 31,084.20

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Solution

The fourth proportional to 68,506.20, 102,710.70 and 31,084.20 is: 46,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,506.20 : 102,710.70 = 31,084.20 : x
  2. Step 2: Convert to fraction form
    68,506.20/102,710.70 = 31,084.20/x
  3. Step 3: Cross multiply
    68,506.20x = 102,710.70 × 31,084.20
  4. Step 4: Simplify right side
    68,506.20x = 3,192,679,940.94
  5. Step 5: Solve for x
    x = 3,192,679,940.94/68,506.20
  6. Step 6: Final answer
    x = 46,604.25

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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.