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Finding the Fourth Proportional to 81,984.08, 122,698.35 and 50,414.14

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Solution

The fourth proportional to 81,984.08, 122,698.35 and 50,414.14 is: 75,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.08 : 122,698.35 = 50,414.14 : x
  2. Step 2: Convert to fraction form
    81,984.08/122,698.35 = 50,414.14/x
  3. Step 3: Cross multiply
    81,984.08x = 122,698.35 × 50,414.14
  4. Step 4: Simplify right side
    81,984.08x = 6,185,731,744.74
  5. Step 5: Solve for x
    x = 6,185,731,744.74/81,984.08
  6. Step 6: Final answer
    x = 75,450.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.