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Finding the Fourth Proportional to 82,061.30, 122,742.03 and 50,393.54

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Solution

The fourth proportional to 82,061.30, 122,742.03 and 50,393.54 is: 75,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061.30 : 122,742.03 = 50,393.54 : x
  2. Step 2: Convert to fraction form
    82,061.30/122,742.03 = 50,393.54/x
  3. Step 3: Cross multiply
    82,061.30x = 122,742.03 × 50,393.54
  4. Step 4: Simplify right side
    82,061.30x = 6,185,405,894.32
  5. Step 5: Solve for x
    x = 6,185,405,894.32/82,061.30
  6. Step 6: Final answer
    x = 75,375.43

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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.