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Finding the Fourth Proportional to 82,553.68, 113,888.72 and 49,861.67

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Solution

The fourth proportional to 82,553.68, 113,888.72 and 49,861.67 is: 68,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553.68 : 113,888.72 = 49,861.67 : x
  2. Step 2: Convert to fraction form
    82,553.68/113,888.72 = 49,861.67/x
  3. Step 3: Cross multiply
    82,553.68x = 113,888.72 × 49,861.67
  4. Step 4: Simplify right side
    82,553.68x = 5,678,681,524.05
  5. Step 5: Solve for x
    x = 5,678,681,524.05/82,553.68
  6. Step 6: Final answer
    x = 68,787.75

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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.