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Finding the Fourth Proportional to 82,018.27, 122,748.44 and 50,411.66

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Solution

The fourth proportional to 82,018.27, 122,748.44 and 50,411.66 is: 75,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,018.27 : 122,748.44 = 50,411.66 : x
  2. Step 2: Convert to fraction form
    82,018.27/122,748.44 = 50,411.66/x
  3. Step 3: Cross multiply
    82,018.27x = 122,748.44 × 50,411.66
  4. Step 4: Simplify right side
    82,018.27x = 6,187,952,622.81
  5. Step 5: Solve for x
    x = 6,187,952,622.81/82,018.27
  6. Step 6: Final answer
    x = 75,446.03

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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.