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Finding the Fourth Proportional to 82,200.42, 113,436.72 and 44,474.67

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Solution

The fourth proportional to 82,200.42, 113,436.72 and 44,474.67 is: 61,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.42 : 113,436.72 = 44,474.67 : x
  2. Step 2: Convert to fraction form
    82,200.42/113,436.72 = 44,474.67/x
  3. Step 3: Cross multiply
    82,200.42x = 113,436.72 × 44,474.67
  4. Step 4: Simplify right side
    82,200.42x = 5,045,060,687.88
  5. Step 5: Solve for x
    x = 5,045,060,687.88/82,200.42
  6. Step 6: Final answer
    x = 61,375.12

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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.