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Finding the Fourth Proportional to 82,694.25, 114,118.20 and 44,968.50

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Solution

The fourth proportional to 82,694.25, 114,118.20 and 44,968.50 is: 62,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,694.25 : 114,118.20 = 44,968.50 : x
  2. Step 2: Convert to fraction form
    82,694.25/114,118.20 = 44,968.50/x
  3. Step 3: Cross multiply
    82,694.25x = 114,118.20 × 44,968.50
  4. Step 4: Simplify right side
    82,694.25x = 5,131,724,276.70
  5. Step 5: Solve for x
    x = 5,131,724,276.70/82,694.25
  6. Step 6: Final answer
    x = 62,056.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.