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Finding the Fourth Proportional to 82,013.18, 122,740.83 and 50,406.62

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Solution

The fourth proportional to 82,013.18, 122,740.83 and 50,406.62 is: 75,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.18 : 122,740.83 = 50,406.62 : x
  2. Step 2: Convert to fraction form
    82,013.18/122,740.83 = 50,406.62/x
  3. Step 3: Cross multiply
    82,013.18x = 122,740.83 × 50,406.62
  4. Step 4: Simplify right side
    82,013.18x = 6,186,950,376.29
  5. Step 5: Solve for x
    x = 6,186,950,376.29/82,013.18
  6. Step 6: Final answer
    x = 75,438.49

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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.