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Finding the Fourth Proportional to 82,201.42, 113,438.10 and 44,475.67

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Solution

The fourth proportional to 82,201.42, 113,438.10 and 44,475.67 is: 61,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.42 : 113,438.10 = 44,475.67 : x
  2. Step 2: Convert to fraction form
    82,201.42/113,438.10 = 44,475.67/x
  3. Step 3: Cross multiply
    82,201.42x = 113,438.10 × 44,475.67
  4. Step 4: Simplify right side
    82,201.42x = 5,045,235,501.03
  5. Step 5: Solve for x
    x = 5,045,235,501.03/82,201.42
  6. Step 6: Final answer
    x = 61,376.50

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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.