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Finding the Fourth Proportional to 82,405.79, 113,722.22 and 50,555.78

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Solution

The fourth proportional to 82,405.79, 113,722.22 and 50,555.78 is: 69,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.79 : 113,722.22 = 50,555.78 : x
  2. Step 2: Convert to fraction form
    82,405.79/113,722.22 = 50,555.78/x
  3. Step 3: Cross multiply
    82,405.79x = 113,722.22 × 50,555.78
  4. Step 4: Simplify right side
    82,405.79x = 5,749,315,282.65
  5. Step 5: Solve for x
    x = 5,749,315,282.65/82,405.79
  6. Step 6: Final answer
    x = 69,768.34

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