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Finding the Fourth Proportional to 82,061, 113,187.94 and 50,245.61

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Solution

The fourth proportional to 82,061, 113,187.94 and 50,245.61 is: 69,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061 : 113,187.94 = 50,245.61 : x
  2. Step 2: Convert to fraction form
    82,061/113,187.94 = 50,245.61/x
  3. Step 3: Cross multiply
    82,061x = 113,187.94 × 50,245.61
  4. Step 4: Simplify right side
    82,061x = 5,687,197,089.94
  5. Step 5: Solve for x
    x = 5,687,197,089.94/82,061
  6. Step 6: Final answer
    x = 69,304.51

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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.